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Finding the Third Proportional to 621.41 and 729.53

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Solution

The third proportional to 621.41 and 729.53 is: 856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.41 : 729.53 = 729.53 : x
  2. Step 2: Convert to fraction form
    621.41/729.53 = 729.53/x
  3. Step 3: Cross multiply
    621.41x = 729.53 × 729.53
  4. Step 4: Simplify right side
    621.41x = 532,219.76
  5. Step 5: Solve for x
    x = 532,219.76/621.41
  6. Step 6: Final answer
    x = 856.47

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.