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Finding the Third Proportional to 475,813 and 645,898

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Solution

The third proportional to 475,813 and 645,898 is: 876,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,813 : 645,898 = 645,898 : x
  2. Step 2: Convert to fraction form
    475,813/645,898 = 645,898/x
  3. Step 3: Cross multiply
    475,813x = 645,898 × 645,898
  4. Step 4: Simplify right side
    475,813x = 417,184,226,404
  5. Step 5: Solve for x
    x = 417,184,226,404/475,813
  6. Step 6: Final answer
    x = 876,781.90

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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.