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Finding the Third Proportional to 92,686.78 and 199,346.06

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Solution

The third proportional to 92,686.78 and 199,346.06 is: 428,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686.78 : 199,346.06 = 199,346.06 : x
  2. Step 2: Convert to fraction form
    92,686.78/199,346.06 = 199,346.06/x
  3. Step 3: Cross multiply
    92,686.78x = 199,346.06 × 199,346.06
  4. Step 4: Simplify right side
    92,686.78x = 39,738,852,634.25
  5. Step 5: Solve for x
    x = 39,738,852,634.25/92,686.78
  6. Step 6: Final answer
    x = 428,743.47

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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.