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Finding the Third Proportional to 217,404 and 319,803.19

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Solution

The third proportional to 217,404 and 319,803.19 is: 470,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,404 : 319,803.19 = 319,803.19 : x
  2. Step 2: Convert to fraction form
    217,404/319,803.19 = 319,803.19/x
  3. Step 3: Cross multiply
    217,404x = 319,803.19 × 319,803.19
  4. Step 4: Simplify right side
    217,404x = 102,274,078,735.16
  5. Step 5: Solve for x
    x = 102,274,078,735.16/217,404
  6. Step 6: Final answer
    x = 470,433.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.