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Finding the Third Proportional to 336,783 and 522,934.50

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Solution

The third proportional to 336,783 and 522,934.50 is: 811,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,783 : 522,934.50 = 522,934.50 : x
  2. Step 2: Convert to fraction form
    336,783/522,934.50 = 522,934.50/x
  3. Step 3: Cross multiply
    336,783x = 522,934.50 × 522,934.50
  4. Step 4: Simplify right side
    336,783x = 273,460,491,290.25
  5. Step 5: Solve for x
    x = 273,460,491,290.25/336,783
  6. Step 6: Final answer
    x = 811,978.31

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