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Finding the Third Proportional to 434,511 and 636,213

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Solution

The third proportional to 434,511 and 636,213 is: 931,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,511 : 636,213 = 636,213 : x
  2. Step 2: Convert to fraction form
    434,511/636,213 = 636,213/x
  3. Step 3: Cross multiply
    434,511x = 636,213 × 636,213
  4. Step 4: Simplify right side
    434,511x = 404,766,981,369
  5. Step 5: Solve for x
    x = 404,766,981,369/434,511
  6. Step 6: Final answer
    x = 931,545.99

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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.