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Finding the Third Proportional to 100,577.63 and 209,422.13

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Solution

The third proportional to 100,577.63 and 209,422.13 is: 436,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.63 : 209,422.13 = 209,422.13 : x
  2. Step 2: Convert to fraction form
    100,577.63/209,422.13 = 209,422.13/x
  3. Step 3: Cross multiply
    100,577.63x = 209,422.13 × 209,422.13
  4. Step 4: Simplify right side
    100,577.63x = 43,857,626,439.52
  5. Step 5: Solve for x
    x = 43,857,626,439.52/100,577.63
  6. Step 6: Final answer
    x = 436,057.49

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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.