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Finding the Third Proportional to 331,821 and 707,076

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Solution

The third proportional to 331,821 and 707,076 is: 1,506,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,821 : 707,076 = 707,076 : x
  2. Step 2: Convert to fraction form
    331,821/707,076 = 707,076/x
  3. Step 3: Cross multiply
    331,821x = 707,076 × 707,076
  4. Step 4: Simplify right side
    331,821x = 499,956,469,776
  5. Step 5: Solve for x
    x = 499,956,469,776/331,821
  6. Step 6: Final answer
    x = 1,506,705.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.