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Finding the Third Proportional to 90,240 and 126,169

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Solution

The third proportional to 90,240 and 126,169 is: 176,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,240 : 126,169 = 126,169 : x
  2. Step 2: Convert to fraction form
    90,240/126,169 = 126,169/x
  3. Step 3: Cross multiply
    90,240x = 126,169 × 126,169
  4. Step 4: Simplify right side
    90,240x = 15,918,616,561
  5. Step 5: Solve for x
    x = 15,918,616,561/90,240
  6. Step 6: Final answer
    x = 176,403.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.