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Finding the Third Proportional to 128,374.50 and 199,557

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Solution

The third proportional to 128,374.50 and 199,557 is: 310,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,374.50 : 199,557 = 199,557 : x
  2. Step 2: Convert to fraction form
    128,374.50/199,557 = 199,557/x
  3. Step 3: Cross multiply
    128,374.50x = 199,557 × 199,557
  4. Step 4: Simplify right side
    128,374.50x = 39,822,996,249
  5. Step 5: Solve for x
    x = 39,822,996,249/128,374.50
  6. Step 6: Final answer
    x = 310,209.55

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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.