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Finding the Third Proportional to 176,578 and 268,948

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Solution

The third proportional to 176,578 and 268,948 is: 409,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,578 : 268,948 = 268,948 : x
  2. Step 2: Convert to fraction form
    176,578/268,948 = 268,948/x
  3. Step 3: Cross multiply
    176,578x = 268,948 × 268,948
  4. Step 4: Simplify right side
    176,578x = 72,333,026,704
  5. Step 5: Solve for x
    x = 72,333,026,704/176,578
  6. Step 6: Final answer
    x = 409,637.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.