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Finding the Third Proportional to 87,612 and 134,046

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Solution

The third proportional to 87,612 and 134,046 is: 205,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,612 : 134,046 = 134,046 : x
  2. Step 2: Convert to fraction form
    87,612/134,046 = 134,046/x
  3. Step 3: Cross multiply
    87,612x = 134,046 × 134,046
  4. Step 4: Simplify right side
    87,612x = 17,968,330,116
  5. Step 5: Solve for x
    x = 17,968,330,116/87,612
  6. Step 6: Final answer
    x = 205,089.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.