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Finding the Third Proportional to 232,940 and 351,342

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Solution

The third proportional to 232,940 and 351,342 is: 529,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,940 : 351,342 = 351,342 : x
  2. Step 2: Convert to fraction form
    232,940/351,342 = 351,342/x
  3. Step 3: Cross multiply
    232,940x = 351,342 × 351,342
  4. Step 4: Simplify right side
    232,940x = 123,441,200,964
  5. Step 5: Solve for x
    x = 123,441,200,964/232,940
  6. Step 6: Final answer
    x = 529,927.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.