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Finding the Third Proportional to 99,126 and 217,854

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Solution

The third proportional to 99,126 and 217,854 is: 478,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126 : 217,854 = 217,854 : x
  2. Step 2: Convert to fraction form
    99,126/217,854 = 217,854/x
  3. Step 3: Cross multiply
    99,126x = 217,854 × 217,854
  4. Step 4: Simplify right side
    99,126x = 47,460,365,316
  5. Step 5: Solve for x
    x = 47,460,365,316/99,126
  6. Step 6: Final answer
    x = 478,788.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.