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Finding the Third Proportional to 489,165 and 731,497

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Solution

The third proportional to 489,165 and 731,497 is: 1,093,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,165 : 731,497 = 731,497 : x
  2. Step 2: Convert to fraction form
    489,165/731,497 = 731,497/x
  3. Step 3: Cross multiply
    489,165x = 731,497 × 731,497
  4. Step 4: Simplify right side
    489,165x = 535,087,861,009
  5. Step 5: Solve for x
    x = 535,087,861,009/489,165
  6. Step 6: Final answer
    x = 1,093,880.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.