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Finding the Third Proportional to 90,921 and 122,302.50

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Solution

The third proportional to 90,921 and 122,302.50 is: 164,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,921 : 122,302.50 = 122,302.50 : x
  2. Step 2: Convert to fraction form
    90,921/122,302.50 = 122,302.50/x
  3. Step 3: Cross multiply
    90,921x = 122,302.50 × 122,302.50
  4. Step 4: Simplify right side
    90,921x = 14,957,901,506.25
  5. Step 5: Solve for x
    x = 14,957,901,506.25/90,921
  6. Step 6: Final answer
    x = 164,515.37

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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.