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Finding the Third Proportional to 65,217 and 87,356

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Solution

The third proportional to 65,217 and 87,356 is: 117,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217 : 87,356 = 87,356 : x
  2. Step 2: Convert to fraction form
    65,217/87,356 = 87,356/x
  3. Step 3: Cross multiply
    65,217x = 87,356 × 87,356
  4. Step 4: Simplify right side
    65,217x = 7,631,070,736
  5. Step 5: Solve for x
    x = 7,631,070,736/65,217
  6. Step 6: Final answer
    x = 117,010.45

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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.