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Finding the Third Proportional to 142,832 and 272,704

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Solution

The third proportional to 142,832 and 272,704 is: 520,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,832 : 272,704 = 272,704 : x
  2. Step 2: Convert to fraction form
    142,832/272,704 = 272,704/x
  3. Step 3: Cross multiply
    142,832x = 272,704 × 272,704
  4. Step 4: Simplify right side
    142,832x = 74,367,471,616
  5. Step 5: Solve for x
    x = 74,367,471,616/142,832
  6. Step 6: Final answer
    x = 520,663.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.