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Finding the Third Proportional to 53,439.75 and 115,445.25

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Solution

The third proportional to 53,439.75 and 115,445.25 is: 249,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,439.75 : 115,445.25 = 115,445.25 : x
  2. Step 2: Convert to fraction form
    53,439.75/115,445.25 = 115,445.25/x
  3. Step 3: Cross multiply
    53,439.75x = 115,445.25 × 115,445.25
  4. Step 4: Simplify right side
    53,439.75x = 13,327,605,747.56
  5. Step 5: Solve for x
    x = 13,327,605,747.56/53,439.75
  6. Step 6: Final answer
    x = 249,394.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.