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Finding the Third Proportional to 617.70 and 970.81

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Solution

The third proportional to 617.70 and 970.81 is: 1,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 970.81 = 970.81 : x
  2. Step 2: Convert to fraction form
    617.70/970.81 = 970.81/x
  3. Step 3: Cross multiply
    617.70x = 970.81 × 970.81
  4. Step 4: Simplify right side
    617.70x = 942,478.81
  5. Step 5: Solve for x
    x = 942,478.81/617.70
  6. Step 6: Final answer
    x = 1,525.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.