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Finding the Third Proportional to 205,704 and 310,747.50

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Solution

The third proportional to 205,704 and 310,747.50 is: 469,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,704 : 310,747.50 = 310,747.50 : x
  2. Step 2: Convert to fraction form
    205,704/310,747.50 = 310,747.50/x
  3. Step 3: Cross multiply
    205,704x = 310,747.50 × 310,747.50
  4. Step 4: Simplify right side
    205,704x = 96,564,008,756.25
  5. Step 5: Solve for x
    x = 96,564,008,756.25/205,704
  6. Step 6: Final answer
    x = 469,431.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.