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Finding the Third Proportional to 408,098 and 633,459

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Solution

The third proportional to 408,098 and 633,459 is: 983,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,098 : 633,459 = 633,459 : x
  2. Step 2: Convert to fraction form
    408,098/633,459 = 633,459/x
  3. Step 3: Cross multiply
    408,098x = 633,459 × 633,459
  4. Step 4: Simplify right side
    408,098x = 401,270,304,681
  5. Step 5: Solve for x
    x = 401,270,304,681/408,098
  6. Step 6: Final answer
    x = 983,269.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.