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Finding the Third Proportional to 200,978 and 272,785

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Solution

The third proportional to 200,978 and 272,785 is: 370,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,978 : 272,785 = 272,785 : x
  2. Step 2: Convert to fraction form
    200,978/272,785 = 272,785/x
  3. Step 3: Cross multiply
    200,978x = 272,785 × 272,785
  4. Step 4: Simplify right side
    200,978x = 74,411,656,225
  5. Step 5: Solve for x
    x = 74,411,656,225/200,978
  6. Step 6: Final answer
    x = 370,247.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.