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Finding the Third Proportional to 336,781 and 522,930

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Solution

The third proportional to 336,781 and 522,930 is: 811,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,781 : 522,930 = 522,930 : x
  2. Step 2: Convert to fraction form
    336,781/522,930 = 522,930/x
  3. Step 3: Cross multiply
    336,781x = 522,930 × 522,930
  4. Step 4: Simplify right side
    336,781x = 273,455,784,900
  5. Step 5: Solve for x
    x = 273,455,784,900/336,781
  6. Step 6: Final answer
    x = 811,969.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.