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Finding the Third Proportional to 181,455 and 272,364

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Solution

The third proportional to 181,455 and 272,364 is: 408,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,455 : 272,364 = 272,364 : x
  2. Step 2: Convert to fraction form
    181,455/272,364 = 272,364/x
  3. Step 3: Cross multiply
    181,455x = 272,364 × 272,364
  4. Step 4: Simplify right side
    181,455x = 74,182,148,496
  5. Step 5: Solve for x
    x = 74,182,148,496/181,455
  6. Step 6: Final answer
    x = 408,818.43

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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.