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Finding the Third Proportional to 303,207 and 656,873

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Solution

The third proportional to 303,207 and 656,873 is: 1,423,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,207 : 656,873 = 656,873 : x
  2. Step 2: Convert to fraction form
    303,207/656,873 = 656,873/x
  3. Step 3: Cross multiply
    303,207x = 656,873 × 656,873
  4. Step 4: Simplify right side
    303,207x = 431,482,138,129
  5. Step 5: Solve for x
    x = 431,482,138,129/303,207
  6. Step 6: Final answer
    x = 1,423,061.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.