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Finding the Third Proportional to 205,513.50 and 307,434.75

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Solution

The third proportional to 205,513.50 and 307,434.75 is: 459,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.50 : 307,434.75 = 307,434.75 : x
  2. Step 2: Convert to fraction form
    205,513.50/307,434.75 = 307,434.75/x
  3. Step 3: Cross multiply
    205,513.50x = 307,434.75 × 307,434.75
  4. Step 4: Simplify right side
    205,513.50x = 94,516,125,507.56
  5. Step 5: Solve for x
    x = 94,516,125,507.56/205,513.50
  6. Step 6: Final answer
    x = 459,902.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.