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Finding the Third Proportional to 644,613.19 and 980,932.78

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Solution

The third proportional to 644,613.19 and 980,932.78 is: 1,492,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,613.19 : 980,932.78 = 980,932.78 : x
  2. Step 2: Convert to fraction form
    644,613.19/980,932.78 = 980,932.78/x
  3. Step 3: Cross multiply
    644,613.19x = 980,932.78 × 980,932.78
  4. Step 4: Simplify right side
    644,613.19x = 962,229,121,330.86
  5. Step 5: Solve for x
    x = 962,229,121,330.86/644,613.19
  6. Step 6: Final answer
    x = 1,492,723.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.