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Finding the Third Proportional to 217,243.50 and 455,253.75

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Solution

The third proportional to 217,243.50 and 455,253.75 is: 954,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,243.50 : 455,253.75 = 455,253.75 : x
  2. Step 2: Convert to fraction form
    217,243.50/455,253.75 = 455,253.75/x
  3. Step 3: Cross multiply
    217,243.50x = 455,253.75 × 455,253.75
  4. Step 4: Simplify right side
    217,243.50x = 207,255,976,889.06
  5. Step 5: Solve for x
    x = 207,255,976,889.06/217,243.50
  6. Step 6: Final answer
    x = 954,026.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.