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Finding the Third Proportional to 89,203.78 and 121,089.94

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Solution

The third proportional to 89,203.78 and 121,089.94 is: 164,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,203.78 : 121,089.94 = 121,089.94 : x
  2. Step 2: Convert to fraction form
    89,203.78/121,089.94 = 121,089.94/x
  3. Step 3: Cross multiply
    89,203.78x = 121,089.94 × 121,089.94
  4. Step 4: Simplify right side
    89,203.78x = 14,662,772,963.75
  5. Step 5: Solve for x
    x = 14,662,772,963.75/89,203.78
  6. Step 6: Final answer
    x = 164,373.89

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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.