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Finding the Third Proportional to 305,868 and 465,282

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Solution

The third proportional to 305,868 and 465,282 is: 707,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,868 : 465,282 = 465,282 : x
  2. Step 2: Convert to fraction form
    305,868/465,282 = 465,282/x
  3. Step 3: Cross multiply
    305,868x = 465,282 × 465,282
  4. Step 4: Simplify right side
    305,868x = 216,487,339,524
  5. Step 5: Solve for x
    x = 216,487,339,524/305,868
  6. Step 6: Final answer
    x = 707,780.28

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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.