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Finding the Third Proportional to 96,448 and 147,451.50

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Solution

The third proportional to 96,448 and 147,451.50 is: 225,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,448 : 147,451.50 = 147,451.50 : x
  2. Step 2: Convert to fraction form
    96,448/147,451.50 = 147,451.50/x
  3. Step 3: Cross multiply
    96,448x = 147,451.50 × 147,451.50
  4. Step 4: Simplify right side
    96,448x = 21,741,944,852.25
  5. Step 5: Solve for x
    x = 21,741,944,852.25/96,448
  6. Step 6: Final answer
    x = 225,426.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.