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Finding the Third Proportional to 188,778 and 289,731

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Solution

The third proportional to 188,778 and 289,731 is: 444,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,778 : 289,731 = 289,731 : x
  2. Step 2: Convert to fraction form
    188,778/289,731 = 289,731/x
  3. Step 3: Cross multiply
    188,778x = 289,731 × 289,731
  4. Step 4: Simplify right side
    188,778x = 83,944,052,361
  5. Step 5: Solve for x
    x = 83,944,052,361/188,778
  6. Step 6: Final answer
    x = 444,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.