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Finding the Third Proportional to 179,776 and 399,458

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Solution

The third proportional to 179,776 and 399,458 is: 887,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,776 : 399,458 = 399,458 : x
  2. Step 2: Convert to fraction form
    179,776/399,458 = 399,458/x
  3. Step 3: Cross multiply
    179,776x = 399,458 × 399,458
  4. Step 4: Simplify right side
    179,776x = 159,566,693,764
  5. Step 5: Solve for x
    x = 159,566,693,764/179,776
  6. Step 6: Final answer
    x = 887,586.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.