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Finding the Third Proportional to 971.02 and 1,311.40

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Solution

The third proportional to 971.02 and 1,311.40 is: 1,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.02 : 1,311.40 = 1,311.40 : x
  2. Step 2: Convert to fraction form
    971.02/1,311.40 = 1,311.40/x
  3. Step 3: Cross multiply
    971.02x = 1,311.40 × 1,311.40
  4. Step 4: Simplify right side
    971.02x = 1,719,765.86
  5. Step 5: Solve for x
    x = 1,719,765.86/971.02
  6. Step 6: Final answer
    x = 1,771.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.