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Finding the Third Proportional to 58,420 and 87,530

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Solution

The third proportional to 58,420 and 87,530 is: 131,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,420 : 87,530 = 87,530 : x
  2. Step 2: Convert to fraction form
    58,420/87,530 = 87,530/x
  3. Step 3: Cross multiply
    58,420x = 87,530 × 87,530
  4. Step 4: Simplify right side
    58,420x = 7,661,500,900
  5. Step 5: Solve for x
    x = 7,661,500,900/58,420
  6. Step 6: Final answer
    x = 131,145.17

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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.