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Finding the Third Proportional to 380,266 and 820,820

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Solution

The third proportional to 380,266 and 820,820 is: 1,771,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,266 : 820,820 = 820,820 : x
  2. Step 2: Convert to fraction form
    380,266/820,820 = 820,820/x
  3. Step 3: Cross multiply
    380,266x = 820,820 × 820,820
  4. Step 4: Simplify right side
    380,266x = 673,745,472,400
  5. Step 5: Solve for x
    x = 673,745,472,400/380,266
  6. Step 6: Final answer
    x = 1,771,774.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.