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Finding the Third Proportional to 380,523 and 819,913

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Solution

The third proportional to 380,523 and 819,913 is: 1,766,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523 : 819,913 = 819,913 : x
  2. Step 2: Convert to fraction form
    380,523/819,913 = 819,913/x
  3. Step 3: Cross multiply
    380,523x = 819,913 × 819,913
  4. Step 4: Simplify right side
    380,523x = 672,257,327,569
  5. Step 5: Solve for x
    x = 672,257,327,569/380,523
  6. Step 6: Final answer
    x = 1,766,666.74

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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.