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Finding the Third Proportional to 631.31 and 719.91

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Solution

The third proportional to 631.31 and 719.91 is: 820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 719.91 = 719.91 : x
  2. Step 2: Convert to fraction form
    631.31/719.91 = 719.91/x
  3. Step 3: Cross multiply
    631.31x = 719.91 × 719.91
  4. Step 4: Simplify right side
    631.31x = 518,265.01
  5. Step 5: Solve for x
    x = 518,265.01/631.31
  6. Step 6: Final answer
    x = 820.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.