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Finding the Third Proportional to 200,770.50 and 302,857.50

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Solution

The third proportional to 200,770.50 and 302,857.50 is: 456,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.50 : 302,857.50 = 302,857.50 : x
  2. Step 2: Convert to fraction form
    200,770.50/302,857.50 = 302,857.50/x
  3. Step 3: Cross multiply
    200,770.50x = 302,857.50 × 302,857.50
  4. Step 4: Simplify right side
    200,770.50x = 91,722,665,306.25
  5. Step 5: Solve for x
    x = 91,722,665,306.25/200,770.50
  6. Step 6: Final answer
    x = 456,853.30

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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.