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Finding the Third Proportional to 720.46 and 1,160.42

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Solution

The third proportional to 720.46 and 1,160.42 is: 1,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 1,160.42 = 1,160.42 : x
  2. Step 2: Convert to fraction form
    720.46/1,160.42 = 1,160.42/x
  3. Step 3: Cross multiply
    720.46x = 1,160.42 × 1,160.42
  4. Step 4: Simplify right side
    720.46x = 1,346,574.40
  5. Step 5: Solve for x
    x = 1,346,574.40/720.46
  6. Step 6: Final answer
    x = 1,869.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.