Home / 678,840-1,006,509

Finding the Third Proportional to 678,840 and 1,006,509

Calculator

Solution

The third proportional to 678,840 and 1,006,509 is: 1,492,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,840 : 1,006,509 = 1,006,509 : x
  2. Step 2: Convert to fraction form
    678,840/1,006,509 = 1,006,509/x
  3. Step 3: Cross multiply
    678,840x = 1,006,509 × 1,006,509
  4. Step 4: Simplify right side
    678,840x = 1,013,060,367,081
  5. Step 5: Solve for x
    x = 1,013,060,367,081/678,840
  6. Step 6: Final answer
    x = 1,492,340.41

Related Problems

Find third proportional to 339,420 and 503,254.50
Half scale
Find third proportional to 1,357,680 and 2,013,018
Double scale
Find third proportional to 678,842 and 1,006,512
Similar ratio
Find third proportional to 1,018,260 and 1,509,763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.