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Finding the Third Proportional to 205,125.75 and 310,422.38

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Solution

The third proportional to 205,125.75 and 310,422.38 is: 469,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,125.75 : 310,422.38 = 310,422.38 : x
  2. Step 2: Convert to fraction form
    205,125.75/310,422.38 = 310,422.38/x
  3. Step 3: Cross multiply
    205,125.75x = 310,422.38 × 310,422.38
  4. Step 4: Simplify right side
    205,125.75x = 96,362,050,900.64
  5. Step 5: Solve for x
    x = 96,362,050,900.64/205,125.75
  6. Step 6: Final answer
    x = 469,770.62

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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.