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Finding the Third Proportional to 229,776 and 330,948

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Solution

The third proportional to 229,776 and 330,948 is: 476,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,776 : 330,948 = 330,948 : x
  2. Step 2: Convert to fraction form
    229,776/330,948 = 330,948/x
  3. Step 3: Cross multiply
    229,776x = 330,948 × 330,948
  4. Step 4: Simplify right side
    229,776x = 109,526,578,704
  5. Step 5: Solve for x
    x = 109,526,578,704/229,776
  6. Step 6: Final answer
    x = 476,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.