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Finding the Third Proportional to 398,905 and 864,271

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Solution

The third proportional to 398,905 and 864,271 is: 1,872,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,905 : 864,271 = 864,271 : x
  2. Step 2: Convert to fraction form
    398,905/864,271 = 864,271/x
  3. Step 3: Cross multiply
    398,905x = 864,271 × 864,271
  4. Step 4: Simplify right side
    398,905x = 746,964,361,441
  5. Step 5: Solve for x
    x = 746,964,361,441/398,905
  6. Step 6: Final answer
    x = 1,872,536.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.