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Finding the Third Proportional to 489,715 and 693,567

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Solution

The third proportional to 489,715 and 693,567 is: 982,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,715 : 693,567 = 693,567 : x
  2. Step 2: Convert to fraction form
    489,715/693,567 = 693,567/x
  3. Step 3: Cross multiply
    489,715x = 693,567 × 693,567
  4. Step 4: Simplify right side
    489,715x = 481,035,183,489
  5. Step 5: Solve for x
    x = 481,035,183,489/489,715
  6. Step 6: Final answer
    x = 982,275.78

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Why These Related Problems?

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