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Finding the Third Proportional to 277,153.88 and 386,145

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Solution

The third proportional to 277,153.88 and 386,145 is: 537,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,153.88 : 386,145 = 386,145 : x
  2. Step 2: Convert to fraction form
    277,153.88/386,145 = 386,145/x
  3. Step 3: Cross multiply
    277,153.88x = 386,145 × 386,145
  4. Step 4: Simplify right side
    277,153.88x = 149,107,961,025
  5. Step 5: Solve for x
    x = 149,107,961,025/277,153.88
  6. Step 6: Final answer
    x = 537,997.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.