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Finding the Third Proportional to 429,146 and 649,241

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Solution

The third proportional to 429,146 and 649,241 is: 982,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146 : 649,241 = 649,241 : x
  2. Step 2: Convert to fraction form
    429,146/649,241 = 649,241/x
  3. Step 3: Cross multiply
    429,146x = 649,241 × 649,241
  4. Step 4: Simplify right side
    429,146x = 421,513,876,081
  5. Step 5: Solve for x
    x = 421,513,876,081/429,146
  6. Step 6: Final answer
    x = 982,215.55

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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.