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Finding the Third Proportional to 151,685 and 331,018

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Solution

The third proportional to 151,685 and 331,018 is: 722,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,685 : 331,018 = 331,018 : x
  2. Step 2: Convert to fraction form
    151,685/331,018 = 331,018/x
  3. Step 3: Cross multiply
    151,685x = 331,018 × 331,018
  4. Step 4: Simplify right side
    151,685x = 109,572,916,324
  5. Step 5: Solve for x
    x = 109,572,916,324/151,685
  6. Step 6: Final answer
    x = 722,371.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.