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Finding the Third Proportional to 52.88 and 112.50

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Solution

The third proportional to 52.88 and 112.50 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.88 : 112.50 = 112.50 : x
  2. Step 2: Convert to fraction form
    52.88/112.50 = 112.50/x
  3. Step 3: Cross multiply
    52.88x = 112.50 × 112.50
  4. Step 4: Simplify right side
    52.88x = 12,656.25
  5. Step 5: Solve for x
    x = 12,656.25/52.88
  6. Step 6: Final answer
    x = 239.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.