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Finding the Third Proportional to 456,634 and 729,231

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Solution

The third proportional to 456,634 and 729,231 is: 1,164,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,634 : 729,231 = 729,231 : x
  2. Step 2: Convert to fraction form
    456,634/729,231 = 729,231/x
  3. Step 3: Cross multiply
    456,634x = 729,231 × 729,231
  4. Step 4: Simplify right side
    456,634x = 531,777,851,361
  5. Step 5: Solve for x
    x = 531,777,851,361/456,634
  6. Step 6: Final answer
    x = 1,164,560.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.