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Finding the Third Proportional to 100,530.50 and 122,203

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Solution

The third proportional to 100,530.50 and 122,203 is: 148,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530.50 : 122,203 = 122,203 : x
  2. Step 2: Convert to fraction form
    100,530.50/122,203 = 122,203/x
  3. Step 3: Cross multiply
    100,530.50x = 122,203 × 122,203
  4. Step 4: Simplify right side
    100,530.50x = 14,933,573,209
  5. Step 5: Solve for x
    x = 14,933,573,209/100,530.50
  6. Step 6: Final answer
    x = 148,547.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.