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Finding the Third Proportional to 78 and 89.63

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Solution

The third proportional to 78 and 89.63 is: 102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 89.63 = 89.63 : x
  2. Step 2: Convert to fraction form
    78/89.63 = 89.63/x
  3. Step 3: Cross multiply
    78x = 89.63 × 89.63
  4. Step 4: Simplify right side
    78x = 8,032.64
  5. Step 5: Solve for x
    x = 8,032.64/78
  6. Step 6: Final answer
    x = 102.98

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.