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Finding the Third Proportional to 317,742 and 657,510

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Solution

The third proportional to 317,742 and 657,510 is: 1,360,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,742 : 657,510 = 657,510 : x
  2. Step 2: Convert to fraction form
    317,742/657,510 = 657,510/x
  3. Step 3: Cross multiply
    317,742x = 657,510 × 657,510
  4. Step 4: Simplify right side
    317,742x = 432,319,400,100
  5. Step 5: Solve for x
    x = 432,319,400,100/317,742
  6. Step 6: Final answer
    x = 1,360,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.