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Finding the Third Proportional to 306,432 and 673,236

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Solution

The third proportional to 306,432 and 673,236 is: 1,479,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,432 : 673,236 = 673,236 : x
  2. Step 2: Convert to fraction form
    306,432/673,236 = 673,236/x
  3. Step 3: Cross multiply
    306,432x = 673,236 × 673,236
  4. Step 4: Simplify right side
    306,432x = 453,246,711,696
  5. Step 5: Solve for x
    x = 453,246,711,696/306,432
  6. Step 6: Final answer
    x = 1,479,110.25

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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.