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Finding the Third Proportional to 336,813.19 and 522,958.78

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Solution

The third proportional to 336,813.19 and 522,958.78 is: 811,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,813.19 : 522,958.78 = 522,958.78 : x
  2. Step 2: Convert to fraction form
    336,813.19/522,958.78 = 522,958.78/x
  3. Step 3: Cross multiply
    336,813.19x = 522,958.78 × 522,958.78
  4. Step 4: Simplify right side
    336,813.19x = 273,485,886,886.49
  5. Step 5: Solve for x
    x = 273,485,886,886.49/336,813.19
  6. Step 6: Final answer
    x = 811,980.93

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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.