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Finding the Third Proportional to 90,549 and 122,973.75

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Solution

The third proportional to 90,549 and 122,973.75 is: 167,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,549 : 122,973.75 = 122,973.75 : x
  2. Step 2: Convert to fraction form
    90,549/122,973.75 = 122,973.75/x
  3. Step 3: Cross multiply
    90,549x = 122,973.75 × 122,973.75
  4. Step 4: Simplify right side
    90,549x = 15,122,543,189.06
  5. Step 5: Solve for x
    x = 15,122,543,189.06/90,549
  6. Step 6: Final answer
    x = 167,009.50

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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.