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Finding the Third Proportional to 434,514 and 636,215

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Solution

The third proportional to 434,514 and 636,215 is: 931,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,514 : 636,215 = 636,215 : x
  2. Step 2: Convert to fraction form
    434,514/636,215 = 636,215/x
  3. Step 3: Cross multiply
    434,514x = 636,215 × 636,215
  4. Step 4: Simplify right side
    434,514x = 404,769,526,225
  5. Step 5: Solve for x
    x = 404,769,526,225/434,514
  6. Step 6: Final answer
    x = 931,545.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.