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Finding the Third Proportional to 306,288 and 672,928

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Solution

The third proportional to 306,288 and 672,928 is: 1,478,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,288 : 672,928 = 672,928 : x
  2. Step 2: Convert to fraction form
    306,288/672,928 = 672,928/x
  3. Step 3: Cross multiply
    306,288x = 672,928 × 672,928
  4. Step 4: Simplify right side
    306,288x = 452,832,093,184
  5. Step 5: Solve for x
    x = 452,832,093,184/306,288
  6. Step 6: Final answer
    x = 1,478,451.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.