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Finding the Third Proportional to 475,272 and 645,677

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Solution

The third proportional to 475,272 and 645,677 is: 877,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,272 : 645,677 = 645,677 : x
  2. Step 2: Convert to fraction form
    475,272/645,677 = 645,677/x
  3. Step 3: Cross multiply
    475,272x = 645,677 × 645,677
  4. Step 4: Simplify right side
    475,272x = 416,898,788,329
  5. Step 5: Solve for x
    x = 416,898,788,329/475,272
  6. Step 6: Final answer
    x = 877,179.36

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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.