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Finding the Third Proportional to 202,919 and 272,211

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Solution

The third proportional to 202,919 and 272,211 is: 365,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,919 : 272,211 = 272,211 : x
  2. Step 2: Convert to fraction form
    202,919/272,211 = 272,211/x
  3. Step 3: Cross multiply
    202,919x = 272,211 × 272,211
  4. Step 4: Simplify right side
    202,919x = 74,098,828,521
  5. Step 5: Solve for x
    x = 74,098,828,521/202,919
  6. Step 6: Final answer
    x = 365,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.