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Finding the Third Proportional to 90,918 and 122,298.75

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Solution

The third proportional to 90,918 and 122,298.75 is: 164,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,918 : 122,298.75 = 122,298.75 : x
  2. Step 2: Convert to fraction form
    90,918/122,298.75 = 122,298.75/x
  3. Step 3: Cross multiply
    90,918x = 122,298.75 × 122,298.75
  4. Step 4: Simplify right side
    90,918x = 14,956,984,251.56
  5. Step 5: Solve for x
    x = 14,956,984,251.56/90,918
  6. Step 6: Final answer
    x = 164,510.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.