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Finding the Third Proportional to 129,658.50 and 277,299

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Solution

The third proportional to 129,658.50 and 277,299 is: 593,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,658.50 : 277,299 = 277,299 : x
  2. Step 2: Convert to fraction form
    129,658.50/277,299 = 277,299/x
  3. Step 3: Cross multiply
    129,658.50x = 277,299 × 277,299
  4. Step 4: Simplify right side
    129,658.50x = 76,894,735,401
  5. Step 5: Solve for x
    x = 76,894,735,401/129,658.50
  6. Step 6: Final answer
    x = 593,055.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.