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Finding the Third Proportional to 429,151 and 649,248

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Solution

The third proportional to 429,151 and 649,248 is: 982,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,151 : 649,248 = 649,248 : x
  2. Step 2: Convert to fraction form
    429,151/649,248 = 649,248/x
  3. Step 3: Cross multiply
    429,151x = 649,248 × 649,248
  4. Step 4: Simplify right side
    429,151x = 421,522,965,504
  5. Step 5: Solve for x
    x = 421,522,965,504/429,151
  6. Step 6: Final answer
    x = 982,225.29

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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.