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Finding the Third Proportional to 189,639 and 277,452

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Solution

The third proportional to 189,639 and 277,452 is: 405,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,639 : 277,452 = 277,452 : x
  2. Step 2: Convert to fraction form
    189,639/277,452 = 277,452/x
  3. Step 3: Cross multiply
    189,639x = 277,452 × 277,452
  4. Step 4: Simplify right side
    189,639x = 76,979,612,304
  5. Step 5: Solve for x
    x = 76,979,612,304/189,639
  6. Step 6: Final answer
    x = 405,927.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.