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Finding the Third Proportional to 270,904 and 639,550

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Solution

The third proportional to 270,904 and 639,550 is: 1,509,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904 : 639,550 = 639,550 : x
  2. Step 2: Convert to fraction form
    270,904/639,550 = 639,550/x
  3. Step 3: Cross multiply
    270,904x = 639,550 × 639,550
  4. Step 4: Simplify right side
    270,904x = 409,024,202,500
  5. Step 5: Solve for x
    x = 409,024,202,500/270,904
  6. Step 6: Final answer
    x = 1,509,849.25

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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.