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Finding the Third Proportional to 120,774 and 177,468

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Solution

The third proportional to 120,774 and 177,468 is: 260,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,774 : 177,468 = 177,468 : x
  2. Step 2: Convert to fraction form
    120,774/177,468 = 177,468/x
  3. Step 3: Cross multiply
    120,774x = 177,468 × 177,468
  4. Step 4: Simplify right side
    120,774x = 31,494,891,024
  5. Step 5: Solve for x
    x = 31,494,891,024/120,774
  6. Step 6: Final answer
    x = 260,775.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.