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Finding the Third Proportional to 458,884 and 645,057

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Solution

The third proportional to 458,884 and 645,057 is: 906,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,884 : 645,057 = 645,057 : x
  2. Step 2: Convert to fraction form
    458,884/645,057 = 645,057/x
  3. Step 3: Cross multiply
    458,884x = 645,057 × 645,057
  4. Step 4: Simplify right side
    458,884x = 416,098,533,249
  5. Step 5: Solve for x
    x = 416,098,533,249/458,884
  6. Step 6: Final answer
    x = 906,761.91

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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.