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Finding the Third Proportional to 61,031 and 87,108

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Solution

The third proportional to 61,031 and 87,108 is: 124,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031 : 87,108 = 87,108 : x
  2. Step 2: Convert to fraction form
    61,031/87,108 = 87,108/x
  3. Step 3: Cross multiply
    61,031x = 87,108 × 87,108
  4. Step 4: Simplify right side
    61,031x = 7,587,803,664
  5. Step 5: Solve for x
    x = 7,587,803,664/61,031
  6. Step 6: Final answer
    x = 124,327.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.