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Finding the Third Proportional to 305,872 and 465,288

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Solution

The third proportional to 305,872 and 465,288 is: 707,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872 : 465,288 = 465,288 : x
  2. Step 2: Convert to fraction form
    305,872/465,288 = 465,288/x
  3. Step 3: Cross multiply
    305,872x = 465,288 × 465,288
  4. Step 4: Simplify right side
    305,872x = 216,492,922,944
  5. Step 5: Solve for x
    x = 216,492,922,944/305,872
  6. Step 6: Final answer
    x = 707,789.28

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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.