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Finding the Third Proportional to 382,872 and 842,928

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Solution

The third proportional to 382,872 and 842,928 is: 1,855,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,872 : 842,928 = 842,928 : x
  2. Step 2: Convert to fraction form
    382,872/842,928 = 842,928/x
  3. Step 3: Cross multiply
    382,872x = 842,928 × 842,928
  4. Step 4: Simplify right side
    382,872x = 710,527,613,184
  5. Step 5: Solve for x
    x = 710,527,613,184/382,872
  6. Step 6: Final answer
    x = 1,855,783.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.