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Finding the Third Proportional to 217,395.50 and 285,874.50

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Solution

The third proportional to 217,395.50 and 285,874.50 is: 375,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,395.50 : 285,874.50 = 285,874.50 : x
  2. Step 2: Convert to fraction form
    217,395.50/285,874.50 = 285,874.50/x
  3. Step 3: Cross multiply
    217,395.50x = 285,874.50 × 285,874.50
  4. Step 4: Simplify right side
    217,395.50x = 81,724,229,750.25
  5. Step 5: Solve for x
    x = 81,724,229,750.25/217,395.50
  6. Step 6: Final answer
    x = 375,924.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.