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Finding the Third Proportional to 45.88 and 64.53

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Solution

The third proportional to 45.88 and 64.53 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.88 : 64.53 = 64.53 : x
  2. Step 2: Convert to fraction form
    45.88/64.53 = 64.53/x
  3. Step 3: Cross multiply
    45.88x = 64.53 × 64.53
  4. Step 4: Simplify right side
    45.88x = 4,164.28
  5. Step 5: Solve for x
    x = 4,164.28/45.88
  6. Step 6: Final answer
    x = 90.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.