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Finding the Third Proportional to 193,332 and 272,258

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Solution

The third proportional to 193,332 and 272,258 is: 383,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,332 : 272,258 = 272,258 : x
  2. Step 2: Convert to fraction form
    193,332/272,258 = 272,258/x
  3. Step 3: Cross multiply
    193,332x = 272,258 × 272,258
  4. Step 4: Simplify right side
    193,332x = 74,124,418,564
  5. Step 5: Solve for x
    x = 74,124,418,564/193,332
  6. Step 6: Final answer
    x = 383,404.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.