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Finding the Third Proportional to 39,412 and 86,489

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Solution

The third proportional to 39,412 and 86,489 is: 189,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412 : 86,489 = 86,489 : x
  2. Step 2: Convert to fraction form
    39,412/86,489 = 86,489/x
  3. Step 3: Cross multiply
    39,412x = 86,489 × 86,489
  4. Step 4: Simplify right side
    39,412x = 7,480,347,121
  5. Step 5: Solve for x
    x = 7,480,347,121/39,412
  6. Step 6: Final answer
    x = 189,798.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.