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Finding the Third Proportional to 205,905.38 and 307,054.13

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Solution

The third proportional to 205,905.38 and 307,054.13 is: 457,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,905.38 : 307,054.13 = 307,054.13 : x
  2. Step 2: Convert to fraction form
    205,905.38/307,054.13 = 307,054.13/x
  3. Step 3: Cross multiply
    205,905.38x = 307,054.13 × 307,054.13
  4. Step 4: Simplify right side
    205,905.38x = 94,282,235,679.52
  5. Step 5: Solve for x
    x = 94,282,235,679.52/205,905.38
  6. Step 6: Final answer
    x = 457,891.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.