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Finding the Third Proportional to 648.88 and 970.63

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Solution

The third proportional to 648.88 and 970.63 is: 1,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 970.63 = 970.63 : x
  2. Step 2: Convert to fraction form
    648.88/970.63 = 970.63/x
  3. Step 3: Cross multiply
    648.88x = 970.63 × 970.63
  4. Step 4: Simplify right side
    648.88x = 942,112.89
  5. Step 5: Solve for x
    x = 942,112.89/648.88
  6. Step 6: Final answer
    x = 1,451.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.