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Finding the Third Proportional to 840,652 and 1,805,720

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Solution

The third proportional to 840,652 and 1,805,720 is: 3,878,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,652 : 1,805,720 = 1,805,720 : x
  2. Step 2: Convert to fraction form
    840,652/1,805,720 = 1,805,720/x
  3. Step 3: Cross multiply
    840,652x = 1,805,720 × 1,805,720
  4. Step 4: Simplify right side
    840,652x = 3,260,624,718,400
  5. Step 5: Solve for x
    x = 3,260,624,718,400/840,652
  6. Step 6: Final answer
    x = 3,878,685.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.