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Finding the Third Proportional to 639,348 and 1,476,261

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Solution

The third proportional to 639,348 and 1,476,261 is: 3,408,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,348 : 1,476,261 = 1,476,261 : x
  2. Step 2: Convert to fraction form
    639,348/1,476,261 = 1,476,261/x
  3. Step 3: Cross multiply
    639,348x = 1,476,261 × 1,476,261
  4. Step 4: Simplify right side
    639,348x = 2,179,346,540,121
  5. Step 5: Solve for x
    x = 2,179,346,540,121/639,348
  6. Step 6: Final answer
    x = 3,408,701.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.