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Finding the Third Proportional to 305,212 and 464,919

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Solution

The third proportional to 305,212 and 464,919 is: 708,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,212 : 464,919 = 464,919 : x
  2. Step 2: Convert to fraction form
    305,212/464,919 = 464,919/x
  3. Step 3: Cross multiply
    305,212x = 464,919 × 464,919
  4. Step 4: Simplify right side
    305,212x = 216,149,676,561
  5. Step 5: Solve for x
    x = 216,149,676,561/305,212
  6. Step 6: Final answer
    x = 708,195.21

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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.