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Finding the Third Proportional to 154,830 and 239,292

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Solution

The third proportional to 154,830 and 239,292 is: 369,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830 : 239,292 = 239,292 : x
  2. Step 2: Convert to fraction form
    154,830/239,292 = 239,292/x
  3. Step 3: Cross multiply
    154,830x = 239,292 × 239,292
  4. Step 4: Simplify right side
    154,830x = 57,260,661,264
  5. Step 5: Solve for x
    x = 57,260,661,264/154,830
  6. Step 6: Final answer
    x = 369,829.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.