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Finding the Third Proportional to 88,641.84 and 133,053.53

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Solution

The third proportional to 88,641.84 and 133,053.53 is: 199,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,641.84 : 133,053.53 = 133,053.53 : x
  2. Step 2: Convert to fraction form
    88,641.84/133,053.53 = 133,053.53/x
  3. Step 3: Cross multiply
    88,641.84x = 133,053.53 × 133,053.53
  4. Step 4: Simplify right side
    88,641.84x = 17,703,243,087.64
  5. Step 5: Solve for x
    x = 17,703,243,087.64/88,641.84
  6. Step 6: Final answer
    x = 199,716.55

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Why These Related Problems?

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