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Finding the Third Proportional to 458,934 and 645,139

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Solution

The third proportional to 458,934 and 645,139 is: 906,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,934 : 645,139 = 645,139 : x
  2. Step 2: Convert to fraction form
    458,934/645,139 = 645,139/x
  3. Step 3: Cross multiply
    458,934x = 645,139 × 645,139
  4. Step 4: Simplify right side
    458,934x = 416,204,329,321
  5. Step 5: Solve for x
    x = 416,204,329,321/458,934
  6. Step 6: Final answer
    x = 906,893.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.