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Finding the Third Proportional to 175,513 and 272,261

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Solution

The third proportional to 175,513 and 272,261 is: 422,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,513 : 272,261 = 272,261 : x
  2. Step 2: Convert to fraction form
    175,513/272,261 = 272,261/x
  3. Step 3: Cross multiply
    175,513x = 272,261 × 272,261
  4. Step 4: Simplify right side
    175,513x = 74,126,052,121
  5. Step 5: Solve for x
    x = 74,126,052,121/175,513
  6. Step 6: Final answer
    x = 422,339.38

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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.