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Finding the Third Proportional to 52,444.13 and 113,180.63

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Solution

The third proportional to 52,444.13 and 113,180.63 is: 244,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,444.13 : 113,180.63 = 113,180.63 : x
  2. Step 2: Convert to fraction form
    52,444.13/113,180.63 = 113,180.63/x
  3. Step 3: Cross multiply
    52,444.13x = 113,180.63 × 113,180.63
  4. Step 4: Simplify right side
    52,444.13x = 12,809,853,875.39
  5. Step 5: Solve for x
    x = 12,809,853,875.39/52,444.13
  6. Step 6: Final answer
    x = 244,257.18

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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.