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Finding the Third Proportional to 132,579 and 272,808

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Solution

The third proportional to 132,579 and 272,808 is: 561,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,579 : 272,808 = 272,808 : x
  2. Step 2: Convert to fraction form
    132,579/272,808 = 272,808/x
  3. Step 3: Cross multiply
    132,579x = 272,808 × 272,808
  4. Step 4: Simplify right side
    132,579x = 74,424,204,864
  5. Step 5: Solve for x
    x = 74,424,204,864/132,579
  6. Step 6: Final answer
    x = 561,357.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.