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Finding the Third Proportional to 128,583 and 199,881.75

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Solution

The third proportional to 128,583 and 199,881.75 is: 310,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,583 : 199,881.75 = 199,881.75 : x
  2. Step 2: Convert to fraction form
    128,583/199,881.75 = 199,881.75/x
  3. Step 3: Cross multiply
    128,583x = 199,881.75 × 199,881.75
  4. Step 4: Simplify right side
    128,583x = 39,952,713,983.06
  5. Step 5: Solve for x
    x = 39,952,713,983.06/128,583
  6. Step 6: Final answer
    x = 310,715.37

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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.