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Finding the Third Proportional to 147,018 and 219,948

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Solution

The third proportional to 147,018 and 219,948 is: 329,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,018 : 219,948 = 219,948 : x
  2. Step 2: Convert to fraction form
    147,018/219,948 = 219,948/x
  3. Step 3: Cross multiply
    147,018x = 219,948 × 219,948
  4. Step 4: Simplify right side
    147,018x = 48,377,122,704
  5. Step 5: Solve for x
    x = 48,377,122,704/147,018
  6. Step 6: Final answer
    x = 329,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.