Home / 309,354-678,468

Finding the Third Proportional to 309,354 and 678,468

Calculator

Solution

The third proportional to 309,354 and 678,468 is: 1,488,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,354 : 678,468 = 678,468 : x
  2. Step 2: Convert to fraction form
    309,354/678,468 = 678,468/x
  3. Step 3: Cross multiply
    309,354x = 678,468 × 678,468
  4. Step 4: Simplify right side
    309,354x = 460,318,827,024
  5. Step 5: Solve for x
    x = 460,318,827,024/309,354
  6. Step 6: Final answer
    x = 1,488,000.24

Related Problems

Find third proportional to 154,677 and 339,234
Half scale
Find third proportional to 618,708 and 1,356,936
Double scale
Find third proportional to 309,356 and 678,472
Similar ratio
Find third proportional to 464,031 and 1,017,702
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.