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Finding the Third Proportional to 489,713 and 693,564

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Solution

The third proportional to 489,713 and 693,564 is: 982,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,713 : 693,564 = 693,564 : x
  2. Step 2: Convert to fraction form
    489,713/693,564 = 693,564/x
  3. Step 3: Cross multiply
    489,713x = 693,564 × 693,564
  4. Step 4: Simplify right side
    489,713x = 481,031,022,096
  5. Step 5: Solve for x
    x = 481,031,022,096/489,713
  6. Step 6: Final answer
    x = 982,271.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.