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Finding the Third Proportional to 870.56 and 1,232.06

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Solution

The third proportional to 870.56 and 1,232.06 is: 1,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.56 : 1,232.06 = 1,232.06 : x
  2. Step 2: Convert to fraction form
    870.56/1,232.06 = 1,232.06/x
  3. Step 3: Cross multiply
    870.56x = 1,232.06 × 1,232.06
  4. Step 4: Simplify right side
    870.56x = 1,517,978.00
  5. Step 5: Solve for x
    x = 1,517,978.00/870.56
  6. Step 6: Final answer
    x = 1,743.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.