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Finding the Third Proportional to 491,121 and 738,510

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Solution

The third proportional to 491,121 and 738,510 is: 1,110,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,121 : 738,510 = 738,510 : x
  2. Step 2: Convert to fraction form
    491,121/738,510 = 738,510/x
  3. Step 3: Cross multiply
    491,121x = 738,510 × 738,510
  4. Step 4: Simplify right side
    491,121x = 545,397,020,100
  5. Step 5: Solve for x
    x = 545,397,020,100/491,121
  6. Step 6: Final answer
    x = 1,110,514.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.