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Finding the Third Proportional to 307,680 and 662,208

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Solution

The third proportional to 307,680 and 662,208 is: 1,425,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,680 : 662,208 = 662,208 : x
  2. Step 2: Convert to fraction form
    307,680/662,208 = 662,208/x
  3. Step 3: Cross multiply
    307,680x = 662,208 × 662,208
  4. Step 4: Simplify right side
    307,680x = 438,519,435,264
  5. Step 5: Solve for x
    x = 438,519,435,264/307,680
  6. Step 6: Final answer
    x = 1,425,245.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.