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Finding the Third Proportional to 58,984 and 87,640

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Solution

The third proportional to 58,984 and 87,640 is: 130,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,984 : 87,640 = 87,640 : x
  2. Step 2: Convert to fraction form
    58,984/87,640 = 87,640/x
  3. Step 3: Cross multiply
    58,984x = 87,640 × 87,640
  4. Step 4: Simplify right side
    58,984x = 7,680,769,600
  5. Step 5: Solve for x
    x = 7,680,769,600/58,984
  6. Step 6: Final answer
    x = 130,217.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.