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Finding the Third Proportional to 51 and 79.50

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Solution

The third proportional to 51 and 79.50 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 79.50 = 79.50 : x
  2. Step 2: Convert to fraction form
    51/79.50 = 79.50/x
  3. Step 3: Cross multiply
    51x = 79.50 × 79.50
  4. Step 4: Simplify right side
    51x = 6,320.25
  5. Step 5: Solve for x
    x = 6,320.25/51
  6. Step 6: Final answer
    x = 123.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.