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Finding the Third Proportional to 64.88 and 101.56

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Solution

The third proportional to 64.88 and 101.56 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 101.56 = 101.56 : x
  2. Step 2: Convert to fraction form
    64.88/101.56 = 101.56/x
  3. Step 3: Cross multiply
    64.88x = 101.56 × 101.56
  4. Step 4: Simplify right side
    64.88x = 10,314.94
  5. Step 5: Solve for x
    x = 10,314.94/64.88
  6. Step 6: Final answer
    x = 159.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.