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Finding the Third Proportional to 40.62 and 53.32

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Solution

The third proportional to 40.62 and 53.32 is: 70.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 53.32 = 53.32 : x
  2. Step 2: Convert to fraction form
    40.62/53.32 = 53.32/x
  3. Step 3: Cross multiply
    40.62x = 53.32 × 53.32
  4. Step 4: Simplify right side
    40.62x = 2,843.06
  5. Step 5: Solve for x
    x = 2,843.06/40.62
  6. Step 6: Final answer
    x = 70.00

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.