Home / 319,899-684,078

Finding the Third Proportional to 319,899 and 684,078

Calculator

Solution

The third proportional to 319,899 and 684,078 is: 1,462,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,899 : 684,078 = 684,078 : x
  2. Step 2: Convert to fraction form
    319,899/684,078 = 684,078/x
  3. Step 3: Cross multiply
    319,899x = 684,078 × 684,078
  4. Step 4: Simplify right side
    319,899x = 467,962,710,084
  5. Step 5: Solve for x
    x = 467,962,710,084/319,899
  6. Step 6: Final answer
    x = 1,462,845.18

Related Problems

Find third proportional to 159,949.50 and 342,039
Half scale
Find third proportional to 639,798 and 1,368,156
Double scale
Find third proportional to 319,901 and 684,082
Similar ratio
Find third proportional to 479,848.50 and 1,026,117
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.