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Finding the Third Proportional to 65,018 and 87,159

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Solution

The third proportional to 65,018 and 87,159 is: 116,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018 : 87,159 = 87,159 : x
  2. Step 2: Convert to fraction form
    65,018/87,159 = 87,159/x
  3. Step 3: Cross multiply
    65,018x = 87,159 × 87,159
  4. Step 4: Simplify right side
    65,018x = 7,596,691,281
  5. Step 5: Solve for x
    x = 7,596,691,281/65,018
  6. Step 6: Final answer
    x = 116,839.82

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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.