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Finding the Third Proportional to 138,960 and 299,520

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Solution

The third proportional to 138,960 and 299,520 is: 645,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,960 : 299,520 = 299,520 : x
  2. Step 2: Convert to fraction form
    138,960/299,520 = 299,520/x
  3. Step 3: Cross multiply
    138,960x = 299,520 × 299,520
  4. Step 4: Simplify right side
    138,960x = 89,712,230,400
  5. Step 5: Solve for x
    x = 89,712,230,400/138,960
  6. Step 6: Final answer
    x = 645,597.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.