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Finding the Third Proportional to 712.83 and 1,577.53

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Solution

The third proportional to 712.83 and 1,577.53 is: 3,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.83 : 1,577.53 = 1,577.53 : x
  2. Step 2: Convert to fraction form
    712.83/1,577.53 = 1,577.53/x
  3. Step 3: Cross multiply
    712.83x = 1,577.53 × 1,577.53
  4. Step 4: Simplify right side
    712.83x = 2,488,604.84
  5. Step 5: Solve for x
    x = 2,488,604.84/712.83
  6. Step 6: Final answer
    x = 3,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.