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Finding the Third Proportional to 145,921 and 319,519

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Solution

The third proportional to 145,921 and 319,519 is: 699,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,921 : 319,519 = 319,519 : x
  2. Step 2: Convert to fraction form
    145,921/319,519 = 319,519/x
  3. Step 3: Cross multiply
    145,921x = 319,519 × 319,519
  4. Step 4: Simplify right side
    145,921x = 102,092,391,361
  5. Step 5: Solve for x
    x = 102,092,391,361/145,921
  6. Step 6: Final answer
    x = 699,641.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.