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Finding the Third Proportional to 40.54 and 64.30

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Solution

The third proportional to 40.54 and 64.30 is: 102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 64.30 = 64.30 : x
  2. Step 2: Convert to fraction form
    40.54/64.30 = 64.30/x
  3. Step 3: Cross multiply
    40.54x = 64.30 × 64.30
  4. Step 4: Simplify right side
    40.54x = 4,134.59
  5. Step 5: Solve for x
    x = 4,134.59/40.54
  6. Step 6: Final answer
    x = 102.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.