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Finding the Third Proportional to 62,988 and 138,262

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Solution

The third proportional to 62,988 and 138,262 is: 303,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,988 : 138,262 = 138,262 : x
  2. Step 2: Convert to fraction form
    62,988/138,262 = 138,262/x
  3. Step 3: Cross multiply
    62,988x = 138,262 × 138,262
  4. Step 4: Simplify right side
    62,988x = 19,116,380,644
  5. Step 5: Solve for x
    x = 19,116,380,644/62,988
  6. Step 6: Final answer
    x = 303,492.42

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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.