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Finding the Third Proportional to 306,716 and 662,680

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Solution

The third proportional to 306,716 and 662,680 is: 1,431,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,716 : 662,680 = 662,680 : x
  2. Step 2: Convert to fraction form
    306,716/662,680 = 662,680/x
  3. Step 3: Cross multiply
    306,716x = 662,680 × 662,680
  4. Step 4: Simplify right side
    306,716x = 439,144,782,400
  5. Step 5: Solve for x
    x = 439,144,782,400/306,716
  6. Step 6: Final answer
    x = 1,431,763.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.