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Finding the Third Proportional to 131,767 and 289,774

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Solution

The third proportional to 131,767 and 289,774 is: 637,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,767 : 289,774 = 289,774 : x
  2. Step 2: Convert to fraction form
    131,767/289,774 = 289,774/x
  3. Step 3: Cross multiply
    131,767x = 289,774 × 289,774
  4. Step 4: Simplify right side
    131,767x = 83,968,971,076
  5. Step 5: Solve for x
    x = 83,968,971,076/131,767
  6. Step 6: Final answer
    x = 637,253.42

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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.