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Finding the Third Proportional to 297,623 and 624,728

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Solution

The third proportional to 297,623 and 624,728 is: 1,311,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,623 : 624,728 = 624,728 : x
  2. Step 2: Convert to fraction form
    297,623/624,728 = 624,728/x
  3. Step 3: Cross multiply
    297,623x = 624,728 × 624,728
  4. Step 4: Simplify right side
    297,623x = 390,285,073,984
  5. Step 5: Solve for x
    x = 390,285,073,984/297,623
  6. Step 6: Final answer
    x = 1,311,340.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.