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Finding the Third Proportional to 58,685 and 87,802

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Solution

The third proportional to 58,685 and 87,802 is: 131,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,685 : 87,802 = 87,802 : x
  2. Step 2: Convert to fraction form
    58,685/87,802 = 87,802/x
  3. Step 3: Cross multiply
    58,685x = 87,802 × 87,802
  4. Step 4: Simplify right side
    58,685x = 7,709,191,204
  5. Step 5: Solve for x
    x = 7,709,191,204/58,685
  6. Step 6: Final answer
    x = 131,365.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.