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Finding the Third Proportional to 560.81 and 860.81

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Solution

The third proportional to 560.81 and 860.81 is: 1,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.81 : 860.81 = 860.81 : x
  2. Step 2: Convert to fraction form
    560.81/860.81 = 860.81/x
  3. Step 3: Cross multiply
    560.81x = 860.81 × 860.81
  4. Step 4: Simplify right side
    560.81x = 740,998.16
  5. Step 5: Solve for x
    x = 740,998.16/560.81
  6. Step 6: Final answer
    x = 1,321.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.