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Finding the Third Proportional to 700.13 and 997.31

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Solution

The third proportional to 700.13 and 997.31 is: 1,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 997.31 = 997.31 : x
  2. Step 2: Convert to fraction form
    700.13/997.31 = 997.31/x
  3. Step 3: Cross multiply
    700.13x = 997.31 × 997.31
  4. Step 4: Simplify right side
    700.13x = 994,632.22
  5. Step 5: Solve for x
    x = 994,632.22/700.13
  6. Step 6: Final answer
    x = 1,420.65

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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.