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Finding the Third Proportional to 586.90 and 878.52

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Solution

The third proportional to 586.90 and 878.52 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 878.52 = 878.52 : x
  2. Step 2: Convert to fraction form
    586.90/878.52 = 878.52/x
  3. Step 3: Cross multiply
    586.90x = 878.52 × 878.52
  4. Step 4: Simplify right side
    586.90x = 771,796.57
  5. Step 5: Solve for x
    x = 771,796.57/586.90
  6. Step 6: Final answer
    x = 1,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.