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Finding the Third Proportional to 572.91 and 739.55

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Solution

The third proportional to 572.91 and 739.55 is: 954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.91 : 739.55 = 739.55 : x
  2. Step 2: Convert to fraction form
    572.91/739.55 = 739.55/x
  3. Step 3: Cross multiply
    572.91x = 739.55 × 739.55
  4. Step 4: Simplify right side
    572.91x = 546,929.58
  5. Step 5: Solve for x
    x = 546,929.58/572.91
  6. Step 6: Final answer
    x = 954.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.