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Finding the Third Proportional to 434,506 and 636,204

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Solution

The third proportional to 434,506 and 636,204 is: 931,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,506 : 636,204 = 636,204 : x
  2. Step 2: Convert to fraction form
    434,506/636,204 = 636,204/x
  3. Step 3: Cross multiply
    434,506x = 636,204 × 636,204
  4. Step 4: Simplify right side
    434,506x = 404,755,529,616
  5. Step 5: Solve for x
    x = 404,755,529,616/434,506
  6. Step 6: Final answer
    x = 931,530.36

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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.