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Finding the Third Proportional to 265,413 and 422,163

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Solution

The third proportional to 265,413 and 422,163 is: 671,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,413 : 422,163 = 422,163 : x
  2. Step 2: Convert to fraction form
    265,413/422,163 = 422,163/x
  3. Step 3: Cross multiply
    265,413x = 422,163 × 422,163
  4. Step 4: Simplify right side
    265,413x = 178,221,598,569
  5. Step 5: Solve for x
    x = 178,221,598,569/265,413
  6. Step 6: Final answer
    x = 671,487.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.