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Finding the Third Proportional to 129,567.38 and 199,886.63

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Solution

The third proportional to 129,567.38 and 199,886.63 is: 308,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,567.38 : 199,886.63 = 199,886.63 : x
  2. Step 2: Convert to fraction form
    129,567.38/199,886.63 = 199,886.63/x
  3. Step 3: Cross multiply
    129,567.38x = 199,886.63 × 199,886.63
  4. Step 4: Simplify right side
    129,567.38x = 39,954,662,853.89
  5. Step 5: Solve for x
    x = 39,954,662,853.89/129,567.38
  6. Step 6: Final answer
    x = 308,369.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.