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Finding the Third Proportional to 62,102 and 87,789

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Solution

The third proportional to 62,102 and 87,789 is: 124,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,102 : 87,789 = 87,789 : x
  2. Step 2: Convert to fraction form
    62,102/87,789 = 87,789/x
  3. Step 3: Cross multiply
    62,102x = 87,789 × 87,789
  4. Step 4: Simplify right side
    62,102x = 7,706,908,521
  5. Step 5: Solve for x
    x = 7,706,908,521/62,102
  6. Step 6: Final answer
    x = 124,100.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.