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Finding the Third Proportional to 720.56 and 970.31

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Solution

The third proportional to 720.56 and 970.31 is: 1,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.56 : 970.31 = 970.31 : x
  2. Step 2: Convert to fraction form
    720.56/970.31 = 970.31/x
  3. Step 3: Cross multiply
    720.56x = 970.31 × 970.31
  4. Step 4: Simplify right side
    720.56x = 941,506.35
  5. Step 5: Solve for x
    x = 941,506.35/720.56
  6. Step 6: Final answer
    x = 1,306.63

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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.