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Finding the Third Proportional to 200,778.75 and 310,888.13

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Solution

The third proportional to 200,778.75 and 310,888.13 is: 481,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.75 : 310,888.13 = 310,888.13 : x
  2. Step 2: Convert to fraction form
    200,778.75/310,888.13 = 310,888.13/x
  3. Step 3: Cross multiply
    200,778.75x = 310,888.13 × 310,888.13
  4. Step 4: Simplify right side
    200,778.75x = 96,651,426,266.02
  5. Step 5: Solve for x
    x = 96,651,426,266.02/200,778.75
  6. Step 6: Final answer
    x = 481,382.75

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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.