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Finding the Third Proportional to 32.47 and 70.64

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Solution

The third proportional to 32.47 and 70.64 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.47 : 70.64 = 70.64 : x
  2. Step 2: Convert to fraction form
    32.47/70.64 = 70.64/x
  3. Step 3: Cross multiply
    32.47x = 70.64 × 70.64
  4. Step 4: Simplify right side
    32.47x = 4,989.68
  5. Step 5: Solve for x
    x = 4,989.68/32.47
  6. Step 6: Final answer
    x = 153.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.