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Finding the Third Proportional to 661,358.25 and 989,469

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Solution

The third proportional to 661,358.25 and 989,469 is: 1,480,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,358.25 : 989,469 = 989,469 : x
  2. Step 2: Convert to fraction form
    661,358.25/989,469 = 989,469/x
  3. Step 3: Cross multiply
    661,358.25x = 989,469 × 989,469
  4. Step 4: Simplify right side
    661,358.25x = 979,048,901,961
  5. Step 5: Solve for x
    x = 979,048,901,961/661,358.25
  6. Step 6: Final answer
    x = 1,480,360.91

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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.