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Finding the Third Proportional to 217,776 and 468,928

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Solution

The third proportional to 217,776 and 468,928 is: 1,009,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,776 : 468,928 = 468,928 : x
  2. Step 2: Convert to fraction form
    217,776/468,928 = 468,928/x
  3. Step 3: Cross multiply
    217,776x = 468,928 × 468,928
  4. Step 4: Simplify right side
    217,776x = 219,893,469,184
  5. Step 5: Solve for x
    x = 219,893,469,184/217,776
  6. Step 6: Final answer
    x = 1,009,723.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.