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Finding the Third Proportional to 475,832 and 645,927

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Solution

The third proportional to 475,832 and 645,927 is: 876,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,832 : 645,927 = 645,927 : x
  2. Step 2: Convert to fraction form
    475,832/645,927 = 645,927/x
  3. Step 3: Cross multiply
    475,832x = 645,927 × 645,927
  4. Step 4: Simplify right side
    475,832x = 417,221,689,329
  5. Step 5: Solve for x
    x = 417,221,689,329/475,832
  6. Step 6: Final answer
    x = 876,825.62

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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.