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Finding the Third Proportional to 99,913 and 209,062.75

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Solution

The third proportional to 99,913 and 209,062.75 is: 437,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913 : 209,062.75 = 209,062.75 : x
  2. Step 2: Convert to fraction form
    99,913/209,062.75 = 209,062.75/x
  3. Step 3: Cross multiply
    99,913x = 209,062.75 × 209,062.75
  4. Step 4: Simplify right side
    99,913x = 43,707,233,437.56
  5. Step 5: Solve for x
    x = 43,707,233,437.56/99,913
  6. Step 6: Final answer
    x = 437,452.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.