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Finding the Third Proportional to 871.50 and 1,276.88

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Solution

The third proportional to 871.50 and 1,276.88 is: 1,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.50 : 1,276.88 = 1,276.88 : x
  2. Step 2: Convert to fraction form
    871.50/1,276.88 = 1,276.88/x
  3. Step 3: Cross multiply
    871.50x = 1,276.88 × 1,276.88
  4. Step 4: Simplify right side
    871.50x = 1,630,409.77
  5. Step 5: Solve for x
    x = 1,630,409.77/871.50
  6. Step 6: Final answer
    x = 1,870.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.