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Finding the Third Proportional to 317,079 and 660,402

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Solution

The third proportional to 317,079 and 660,402 is: 1,375,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,079 : 660,402 = 660,402 : x
  2. Step 2: Convert to fraction form
    317,079/660,402 = 660,402/x
  3. Step 3: Cross multiply
    317,079x = 660,402 × 660,402
  4. Step 4: Simplify right side
    317,079x = 436,130,801,604
  5. Step 5: Solve for x
    x = 436,130,801,604/317,079
  6. Step 6: Final answer
    x = 1,375,464.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.