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Finding the Third Proportional to 90,801 and 121,365

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Solution

The third proportional to 90,801 and 121,365 is: 162,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,801 : 121,365 = 121,365 : x
  2. Step 2: Convert to fraction form
    90,801/121,365 = 121,365/x
  3. Step 3: Cross multiply
    90,801x = 121,365 × 121,365
  4. Step 4: Simplify right side
    90,801x = 14,729,463,225
  5. Step 5: Solve for x
    x = 14,729,463,225/90,801
  6. Step 6: Final answer
    x = 162,216.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.