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Finding the Third Proportional to 609,640 and 949,351

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Solution

The third proportional to 609,640 and 949,351 is: 1,478,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,640 : 949,351 = 949,351 : x
  2. Step 2: Convert to fraction form
    609,640/949,351 = 949,351/x
  3. Step 3: Cross multiply
    609,640x = 949,351 × 949,351
  4. Step 4: Simplify right side
    609,640x = 901,267,321,201
  5. Step 5: Solve for x
    x = 901,267,321,201/609,640
  6. Step 6: Final answer
    x = 1,478,359.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.