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Finding the Third Proportional to 65,412 and 87,534

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Solution

The third proportional to 65,412 and 87,534 is: 117,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 87,534 = 87,534 : x
  2. Step 2: Convert to fraction form
    65,412/87,534 = 87,534/x
  3. Step 3: Cross multiply
    65,412x = 87,534 × 87,534
  4. Step 4: Simplify right side
    65,412x = 7,662,201,156
  5. Step 5: Solve for x
    x = 7,662,201,156/65,412
  6. Step 6: Final answer
    x = 117,137.55

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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.