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Finding the Third Proportional to 165,438 and 247,497

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Solution

The third proportional to 165,438 and 247,497 is: 370,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,438 : 247,497 = 247,497 : x
  2. Step 2: Convert to fraction form
    165,438/247,497 = 247,497/x
  3. Step 3: Cross multiply
    165,438x = 247,497 × 247,497
  4. Step 4: Simplify right side
    165,438x = 61,254,765,009
  5. Step 5: Solve for x
    x = 61,254,765,009/165,438
  6. Step 6: Final answer
    x = 370,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.