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Finding the Third Proportional to 476,221 and 729,504

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Solution

The third proportional to 476,221 and 729,504 is: 1,117,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,221 : 729,504 = 729,504 : x
  2. Step 2: Convert to fraction form
    476,221/729,504 = 729,504/x
  3. Step 3: Cross multiply
    476,221x = 729,504 × 729,504
  4. Step 4: Simplify right side
    476,221x = 532,176,086,016
  5. Step 5: Solve for x
    x = 532,176,086,016/476,221
  6. Step 6: Final answer
    x = 1,117,498.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.