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Finding the Third Proportional to 45,420.75 and 109,721.25

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Solution

The third proportional to 45,420.75 and 109,721.25 is: 265,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420.75 : 109,721.25 = 109,721.25 : x
  2. Step 2: Convert to fraction form
    45,420.75/109,721.25 = 109,721.25/x
  3. Step 3: Cross multiply
    45,420.75x = 109,721.25 × 109,721.25
  4. Step 4: Simplify right side
    45,420.75x = 12,038,752,701.56
  5. Step 5: Solve for x
    x = 12,038,752,701.56/45,420.75
  6. Step 6: Final answer
    x = 265,049.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.