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Finding the Third Proportional to 128,412.38 and 199,612.78

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Solution

The third proportional to 128,412.38 and 199,612.78 is: 310,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412.38 : 199,612.78 = 199,612.78 : x
  2. Step 2: Convert to fraction form
    128,412.38/199,612.78 = 199,612.78/x
  3. Step 3: Cross multiply
    128,412.38x = 199,612.78 × 199,612.78
  4. Step 4: Simplify right side
    128,412.38x = 39,845,262,438.36
  5. Step 5: Solve for x
    x = 39,845,262,438.36/128,412.38
  6. Step 6: Final answer
    x = 310,291.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.