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Finding the Third Proportional to 74,897 and 162,919

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Solution

The third proportional to 74,897 and 162,919 is: 354,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,897 : 162,919 = 162,919 : x
  2. Step 2: Convert to fraction form
    74,897/162,919 = 162,919/x
  3. Step 3: Cross multiply
    74,897x = 162,919 × 162,919
  4. Step 4: Simplify right side
    74,897x = 26,542,600,561
  5. Step 5: Solve for x
    x = 26,542,600,561/74,897
  6. Step 6: Final answer
    x = 354,388.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.