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Finding the Third Proportional to 151,310 and 219,862

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Solution

The third proportional to 151,310 and 219,862 is: 319,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,310 : 219,862 = 219,862 : x
  2. Step 2: Convert to fraction form
    151,310/219,862 = 219,862/x
  3. Step 3: Cross multiply
    151,310x = 219,862 × 219,862
  4. Step 4: Simplify right side
    151,310x = 48,339,299,044
  5. Step 5: Solve for x
    x = 48,339,299,044/151,310
  6. Step 6: Final answer
    x = 319,471.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.