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Finding the Third Proportional to 619,320 and 1,360,431

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Solution

The third proportional to 619,320 and 1,360,431 is: 2,988,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,320 : 1,360,431 = 1,360,431 : x
  2. Step 2: Convert to fraction form
    619,320/1,360,431 = 1,360,431/x
  3. Step 3: Cross multiply
    619,320x = 1,360,431 × 1,360,431
  4. Step 4: Simplify right side
    619,320x = 1,850,772,505,761
  5. Step 5: Solve for x
    x = 1,850,772,505,761/619,320
  6. Step 6: Final answer
    x = 2,988,394.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.