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Finding the Third Proportional to 217,451 and 471,091

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Solution

The third proportional to 217,451 and 471,091 is: 1,020,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,451 : 471,091 = 471,091 : x
  2. Step 2: Convert to fraction form
    217,451/471,091 = 471,091/x
  3. Step 3: Cross multiply
    217,451x = 471,091 × 471,091
  4. Step 4: Simplify right side
    217,451x = 221,926,730,281
  5. Step 5: Solve for x
    x = 221,926,730,281/217,451
  6. Step 6: Final answer
    x = 1,020,582.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.