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Finding the Third Proportional to 64,493 and 87,580

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Solution

The third proportional to 64,493 and 87,580 is: 118,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493 : 87,580 = 87,580 : x
  2. Step 2: Convert to fraction form
    64,493/87,580 = 87,580/x
  3. Step 3: Cross multiply
    64,493x = 87,580 × 87,580
  4. Step 4: Simplify right side
    64,493x = 7,670,256,400
  5. Step 5: Solve for x
    x = 7,670,256,400/64,493
  6. Step 6: Final answer
    x = 118,931.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.