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Finding the Third Proportional to 103,540.78 and 222,715.20

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Solution

The third proportional to 103,540.78 and 222,715.20 is: 479,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,540.78 : 222,715.20 = 222,715.20 : x
  2. Step 2: Convert to fraction form
    103,540.78/222,715.20 = 222,715.20/x
  3. Step 3: Cross multiply
    103,540.78x = 222,715.20 × 222,715.20
  4. Step 4: Simplify right side
    103,540.78x = 49,602,058,223.09
  5. Step 5: Solve for x
    x = 49,602,058,223.09/103,540.78
  6. Step 6: Final answer
    x = 479,058.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.