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Finding the Third Proportional to 391,284 and 524,109

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Solution

The third proportional to 391,284 and 524,109 is: 702,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,284 : 524,109 = 524,109 : x
  2. Step 2: Convert to fraction form
    391,284/524,109 = 524,109/x
  3. Step 3: Cross multiply
    391,284x = 524,109 × 524,109
  4. Step 4: Simplify right side
    391,284x = 274,690,243,881
  5. Step 5: Solve for x
    x = 274,690,243,881/391,284
  6. Step 6: Final answer
    x = 702,022.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.