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Finding the Third Proportional to 217,699 and 336,257.50

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Solution

The third proportional to 217,699 and 336,257.50 is: 519,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,699 : 336,257.50 = 336,257.50 : x
  2. Step 2: Convert to fraction form
    217,699/336,257.50 = 336,257.50/x
  3. Step 3: Cross multiply
    217,699x = 336,257.50 × 336,257.50
  4. Step 4: Simplify right side
    217,699x = 113,069,106,306.25
  5. Step 5: Solve for x
    x = 113,069,106,306.25/217,699
  6. Step 6: Final answer
    x = 519,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.