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Finding the Third Proportional to 586.20 and 870.33

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Solution

The third proportional to 586.20 and 870.33 is: 1,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.20 : 870.33 = 870.33 : x
  2. Step 2: Convert to fraction form
    586.20/870.33 = 870.33/x
  3. Step 3: Cross multiply
    586.20x = 870.33 × 870.33
  4. Step 4: Simplify right side
    586.20x = 757,471.05
  5. Step 5: Solve for x
    x = 757,471.05/586.20
  6. Step 6: Final answer
    x = 1,292.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.