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Finding the Third Proportional to 475,828 and 645,916

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Solution

The third proportional to 475,828 and 645,916 is: 876,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,828 : 645,916 = 645,916 : x
  2. Step 2: Convert to fraction form
    475,828/645,916 = 645,916/x
  3. Step 3: Cross multiply
    475,828x = 645,916 × 645,916
  4. Step 4: Simplify right side
    475,828x = 417,207,479,056
  5. Step 5: Solve for x
    x = 417,207,479,056/475,828
  6. Step 6: Final answer
    x = 876,803.13

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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.