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Finding the Third Proportional to 358,452 and 487,107

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Solution

The third proportional to 358,452 and 487,107 is: 661,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,452 : 487,107 = 487,107 : x
  2. Step 2: Convert to fraction form
    358,452/487,107 = 487,107/x
  3. Step 3: Cross multiply
    358,452x = 487,107 × 487,107
  4. Step 4: Simplify right side
    358,452x = 237,273,229,449
  5. Step 5: Solve for x
    x = 237,273,229,449/358,452
  6. Step 6: Final answer
    x = 661,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.