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Finding the Third Proportional to 200,402.50 and 310,729

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Solution

The third proportional to 200,402.50 and 310,729 is: 481,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402.50 : 310,729 = 310,729 : x
  2. Step 2: Convert to fraction form
    200,402.50/310,729 = 310,729/x
  3. Step 3: Cross multiply
    200,402.50x = 310,729 × 310,729
  4. Step 4: Simplify right side
    200,402.50x = 96,552,511,441
  5. Step 5: Solve for x
    x = 96,552,511,441/200,402.50
  6. Step 6: Final answer
    x = 481,792.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.