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Finding the Third Proportional to 100,237.50 and 206,830.97

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Solution

The third proportional to 100,237.50 and 206,830.97 is: 426,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,237.50 : 206,830.97 = 206,830.97 : x
  2. Step 2: Convert to fraction form
    100,237.50/206,830.97 = 206,830.97/x
  3. Step 3: Cross multiply
    100,237.50x = 206,830.97 × 206,830.97
  4. Step 4: Simplify right side
    100,237.50x = 42,779,049,634.06
  5. Step 5: Solve for x
    x = 42,779,049,634.06/100,237.50
  6. Step 6: Final answer
    x = 426,776.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.