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Finding the Third Proportional to 217,440 and 306,203

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Solution

The third proportional to 217,440 and 306,203 is: 431,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,440 : 306,203 = 306,203 : x
  2. Step 2: Convert to fraction form
    217,440/306,203 = 306,203/x
  3. Step 3: Cross multiply
    217,440x = 306,203 × 306,203
  4. Step 4: Simplify right side
    217,440x = 93,760,277,209
  5. Step 5: Solve for x
    x = 93,760,277,209/217,440
  6. Step 6: Final answer
    x = 431,200.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.