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Finding the Third Proportional to 586.55 and 1,281.90

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Solution

The third proportional to 586.55 and 1,281.90 is: 2,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.55 : 1,281.90 = 1,281.90 : x
  2. Step 2: Convert to fraction form
    586.55/1,281.90 = 1,281.90/x
  3. Step 3: Cross multiply
    586.55x = 1,281.90 × 1,281.90
  4. Step 4: Simplify right side
    586.55x = 1,643,273.62
  5. Step 5: Solve for x
    x = 1,643,273.62/586.55
  6. Step 6: Final answer
    x = 2,801.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.