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Finding the Third Proportional to 239,728 and 359,160

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Solution

The third proportional to 239,728 and 359,160 is: 538,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,728 : 359,160 = 359,160 : x
  2. Step 2: Convert to fraction form
    239,728/359,160 = 359,160/x
  3. Step 3: Cross multiply
    239,728x = 359,160 × 359,160
  4. Step 4: Simplify right side
    239,728x = 128,995,905,600
  5. Step 5: Solve for x
    x = 128,995,905,600/239,728
  6. Step 6: Final answer
    x = 538,092.78

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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.