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Finding the Third Proportional to 205,180 and 310,503

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Solution

The third proportional to 205,180 and 310,503 is: 469,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180 : 310,503 = 310,503 : x
  2. Step 2: Convert to fraction form
    205,180/310,503 = 310,503/x
  3. Step 3: Cross multiply
    205,180x = 310,503 × 310,503
  4. Step 4: Simplify right side
    205,180x = 96,412,113,009
  5. Step 5: Solve for x
    x = 96,412,113,009/205,180
  6. Step 6: Final answer
    x = 469,890.40

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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.