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Finding the Third Proportional to 188,507 and 398,830

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Solution

The third proportional to 188,507 and 398,830 is: 843,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,507 : 398,830 = 398,830 : x
  2. Step 2: Convert to fraction form
    188,507/398,830 = 398,830/x
  3. Step 3: Cross multiply
    188,507x = 398,830 × 398,830
  4. Step 4: Simplify right side
    188,507x = 159,065,368,900
  5. Step 5: Solve for x
    x = 159,065,368,900/188,507
  6. Step 6: Final answer
    x = 843,816.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.