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Finding the Third Proportional to 439,368 and 657,540

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Solution

The third proportional to 439,368 and 657,540 is: 984,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,368 : 657,540 = 657,540 : x
  2. Step 2: Convert to fraction form
    439,368/657,540 = 657,540/x
  3. Step 3: Cross multiply
    439,368x = 657,540 × 657,540
  4. Step 4: Simplify right side
    439,368x = 432,358,851,600
  5. Step 5: Solve for x
    x = 432,358,851,600/439,368
  6. Step 6: Final answer
    x = 984,047.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.