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Finding the Third Proportional to 135,478 and 205,919

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Solution

The third proportional to 135,478 and 205,919 is: 312,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478 : 205,919 = 205,919 : x
  2. Step 2: Convert to fraction form
    135,478/205,919 = 205,919/x
  3. Step 3: Cross multiply
    135,478x = 205,919 × 205,919
  4. Step 4: Simplify right side
    135,478x = 42,402,634,561
  5. Step 5: Solve for x
    x = 42,402,634,561/135,478
  6. Step 6: Final answer
    x = 312,985.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.