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Finding the Third Proportional to 239,857 and 528,007

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Solution

The third proportional to 239,857 and 528,007 is: 1,162,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,857 : 528,007 = 528,007 : x
  2. Step 2: Convert to fraction form
    239,857/528,007 = 528,007/x
  3. Step 3: Cross multiply
    239,857x = 528,007 × 528,007
  4. Step 4: Simplify right side
    239,857x = 278,791,392,049
  5. Step 5: Solve for x
    x = 278,791,392,049/239,857
  6. Step 6: Final answer
    x = 1,162,323.35

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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.