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Finding the Third Proportional to 115,769 and 169,873

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Solution

The third proportional to 115,769 and 169,873 is: 249,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,769 : 169,873 = 169,873 : x
  2. Step 2: Convert to fraction form
    115,769/169,873 = 169,873/x
  3. Step 3: Cross multiply
    115,769x = 169,873 × 169,873
  4. Step 4: Simplify right side
    115,769x = 28,856,836,129
  5. Step 5: Solve for x
    x = 28,856,836,129/115,769
  6. Step 6: Final answer
    x = 249,262.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.