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Finding the Third Proportional to 45.70 and 64.27

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Solution

The third proportional to 45.70 and 64.27 is: 90.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.70 : 64.27 = 64.27 : x
  2. Step 2: Convert to fraction form
    45.70/64.27 = 64.27/x
  3. Step 3: Cross multiply
    45.70x = 64.27 × 64.27
  4. Step 4: Simplify right side
    45.70x = 4,130.07
  5. Step 5: Solve for x
    x = 4,130.07/45.70
  6. Step 6: Final answer
    x = 90.37

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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.