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Finding the Third Proportional to 270,908 and 639,560

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Solution

The third proportional to 270,908 and 639,560 is: 1,509,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908 : 639,560 = 639,560 : x
  2. Step 2: Convert to fraction form
    270,908/639,560 = 639,560/x
  3. Step 3: Cross multiply
    270,908x = 639,560 × 639,560
  4. Step 4: Simplify right side
    270,908x = 409,036,993,600
  5. Step 5: Solve for x
    x = 409,036,993,600/270,908
  6. Step 6: Final answer
    x = 1,509,874.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.