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Finding the Third Proportional to 661,288 and 989,372

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Solution

The third proportional to 661,288 and 989,372 is: 1,480,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,288 : 989,372 = 989,372 : x
  2. Step 2: Convert to fraction form
    661,288/989,372 = 989,372/x
  3. Step 3: Cross multiply
    661,288x = 989,372 × 989,372
  4. Step 4: Simplify right side
    661,288x = 978,856,954,384
  5. Step 5: Solve for x
    x = 978,856,954,384/661,288
  6. Step 6: Final answer
    x = 1,480,227.91

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