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Finding the Third Proportional to 205,878.75 and 307,605.94

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Solution

The third proportional to 205,878.75 and 307,605.94 is: 459,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.75 : 307,605.94 = 307,605.94 : x
  2. Step 2: Convert to fraction form
    205,878.75/307,605.94 = 307,605.94/x
  3. Step 3: Cross multiply
    205,878.75x = 307,605.94 × 307,605.94
  4. Step 4: Simplify right side
    205,878.75x = 94,621,412,785.25
  5. Step 5: Solve for x
    x = 94,621,412,785.25/205,878.75
  6. Step 6: Final answer
    x = 459,597.76

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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.