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Finding the Third Proportional to 217,924 and 330,146

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Solution

The third proportional to 217,924 and 330,146 is: 500,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,924 : 330,146 = 330,146 : x
  2. Step 2: Convert to fraction form
    217,924/330,146 = 330,146/x
  3. Step 3: Cross multiply
    217,924x = 330,146 × 330,146
  4. Step 4: Simplify right side
    217,924x = 108,996,381,316
  5. Step 5: Solve for x
    x = 108,996,381,316/217,924
  6. Step 6: Final answer
    x = 500,157.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.