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Finding the Third Proportional to 44,128 and 86,042

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Solution

The third proportional to 44,128 and 86,042 is: 167,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 86,042 = 86,042 : x
  2. Step 2: Convert to fraction form
    44,128/86,042 = 86,042/x
  3. Step 3: Cross multiply
    44,128x = 86,042 × 86,042
  4. Step 4: Simplify right side
    44,128x = 7,403,225,764
  5. Step 5: Solve for x
    x = 7,403,225,764/44,128
  6. Step 6: Final answer
    x = 167,767.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.