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Finding the Third Proportional to 71,298 and 144,324

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Solution

The third proportional to 71,298 and 144,324 is: 292,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298 : 144,324 = 144,324 : x
  2. Step 2: Convert to fraction form
    71,298/144,324 = 144,324/x
  3. Step 3: Cross multiply
    71,298x = 144,324 × 144,324
  4. Step 4: Simplify right side
    71,298x = 20,829,416,976
  5. Step 5: Solve for x
    x = 20,829,416,976/71,298
  6. Step 6: Final answer
    x = 292,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.