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Finding the Third Proportional to 331,429.22 and 711,906.47

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Solution

The third proportional to 331,429.22 and 711,906.47 is: 1,529,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,429.22 : 711,906.47 = 711,906.47 : x
  2. Step 2: Convert to fraction form
    331,429.22/711,906.47 = 711,906.47/x
  3. Step 3: Cross multiply
    331,429.22x = 711,906.47 × 711,906.47
  4. Step 4: Simplify right side
    331,429.22x = 506,810,820,248.10
  5. Step 5: Solve for x
    x = 506,810,820,248.10/331,429.22
  6. Step 6: Final answer
    x = 1,529,167.59

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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.