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Finding the Third Proportional to 727.59 and 1,537.31

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Solution

The third proportional to 727.59 and 1,537.31 is: 3,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.59 : 1,537.31 = 1,537.31 : x
  2. Step 2: Convert to fraction form
    727.59/1,537.31 = 1,537.31/x
  3. Step 3: Cross multiply
    727.59x = 1,537.31 × 1,537.31
  4. Step 4: Simplify right side
    727.59x = 2,363,329.72
  5. Step 5: Solve for x
    x = 2,363,329.72/727.59
  6. Step 6: Final answer
    x = 3,248.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.