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Finding the Third Proportional to 205,875 and 328,765.50

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Solution

The third proportional to 205,875 and 328,765.50 is: 525,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875 : 328,765.50 = 328,765.50 : x
  2. Step 2: Convert to fraction form
    205,875/328,765.50 = 328,765.50/x
  3. Step 3: Cross multiply
    205,875x = 328,765.50 × 328,765.50
  4. Step 4: Simplify right side
    205,875x = 108,086,753,990.25
  5. Step 5: Solve for x
    x = 108,086,753,990.25/205,875
  6. Step 6: Final answer
    x = 525,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.