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Finding the Third Proportional to 115,439 and 252,262

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Solution

The third proportional to 115,439 and 252,262 is: 551,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,439 : 252,262 = 252,262 : x
  2. Step 2: Convert to fraction form
    115,439/252,262 = 252,262/x
  3. Step 3: Cross multiply
    115,439x = 252,262 × 252,262
  4. Step 4: Simplify right side
    115,439x = 63,636,116,644
  5. Step 5: Solve for x
    x = 63,636,116,644/115,439
  6. Step 6: Final answer
    x = 551,253.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.