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Finding the Third Proportional to 64.31 and 73.22

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Solution

The third proportional to 64.31 and 73.22 is: 83.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.31 : 73.22 = 73.22 : x
  2. Step 2: Convert to fraction form
    64.31/73.22 = 73.22/x
  3. Step 3: Cross multiply
    64.31x = 73.22 × 73.22
  4. Step 4: Simplify right side
    64.31x = 5,360.99
  5. Step 5: Solve for x
    x = 5,360.99/64.31
  6. Step 6: Final answer
    x = 83.36

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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.