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Finding the Third Proportional to 78,755.63 and 123,197.63

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Solution

The third proportional to 78,755.63 and 123,197.63 is: 192,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,755.63 : 123,197.63 = 123,197.63 : x
  2. Step 2: Convert to fraction form
    78,755.63/123,197.63 = 123,197.63/x
  3. Step 3: Cross multiply
    78,755.63x = 123,197.63 × 123,197.63
  4. Step 4: Simplify right side
    78,755.63x = 15,177,654,805.64
  5. Step 5: Solve for x
    x = 15,177,654,805.64/78,755.63
  6. Step 6: Final answer
    x = 192,718.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.