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Finding the Third Proportional to 989,647 and 1,637,742

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Solution

The third proportional to 989,647 and 1,637,742 is: 2,710,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,647 : 1,637,742 = 1,637,742 : x
  2. Step 2: Convert to fraction form
    989,647/1,637,742 = 1,637,742/x
  3. Step 3: Cross multiply
    989,647x = 1,637,742 × 1,637,742
  4. Step 4: Simplify right side
    989,647x = 2,682,198,858,564
  5. Step 5: Solve for x
    x = 2,682,198,858,564/989,647
  6. Step 6: Final answer
    x = 2,710,258.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.