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Finding the Third Proportional to 144,774 and 221,466

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Solution

The third proportional to 144,774 and 221,466 is: 338,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,774 : 221,466 = 221,466 : x
  2. Step 2: Convert to fraction form
    144,774/221,466 = 221,466/x
  3. Step 3: Cross multiply
    144,774x = 221,466 × 221,466
  4. Step 4: Simplify right side
    144,774x = 49,047,189,156
  5. Step 5: Solve for x
    x = 49,047,189,156/144,774
  6. Step 6: Final answer
    x = 338,784.51

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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.