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Finding the Third Proportional to 661,357 and 989,465

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Solution

The third proportional to 661,357 and 989,465 is: 1,480,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,357 : 989,465 = 989,465 : x
  2. Step 2: Convert to fraction form
    661,357/989,465 = 989,465/x
  3. Step 3: Cross multiply
    661,357x = 989,465 × 989,465
  4. Step 4: Simplify right side
    661,357x = 979,040,986,225
  5. Step 5: Solve for x
    x = 979,040,986,225/661,357
  6. Step 6: Final answer
    x = 1,480,351.74

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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.