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Finding the Third Proportional to 89,283.25 and 121,257.25

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Solution

The third proportional to 89,283.25 and 121,257.25 is: 164,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,283.25 : 121,257.25 = 121,257.25 : x
  2. Step 2: Convert to fraction form
    89,283.25/121,257.25 = 121,257.25/x
  3. Step 3: Cross multiply
    89,283.25x = 121,257.25 × 121,257.25
  4. Step 4: Simplify right side
    89,283.25x = 14,703,320,677.56
  5. Step 5: Solve for x
    x = 14,703,320,677.56/89,283.25
  6. Step 6: Final answer
    x = 164,681.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.