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Finding the Third Proportional to 100,573.50 and 209,489.50

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Solution

The third proportional to 100,573.50 and 209,489.50 is: 436,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,573.50 : 209,489.50 = 209,489.50 : x
  2. Step 2: Convert to fraction form
    100,573.50/209,489.50 = 209,489.50/x
  3. Step 3: Cross multiply
    100,573.50x = 209,489.50 × 209,489.50
  4. Step 4: Simplify right side
    100,573.50x = 43,885,850,610.25
  5. Step 5: Solve for x
    x = 43,885,850,610.25/100,573.50
  6. Step 6: Final answer
    x = 436,356.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.