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Finding the Third Proportional to 228,136.50 and 508,680

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Solution

The third proportional to 228,136.50 and 508,680 is: 1,134,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,136.50 : 508,680 = 508,680 : x
  2. Step 2: Convert to fraction form
    228,136.50/508,680 = 508,680/x
  3. Step 3: Cross multiply
    228,136.50x = 508,680 × 508,680
  4. Step 4: Simplify right side
    228,136.50x = 258,755,342,400
  5. Step 5: Solve for x
    x = 258,755,342,400/228,136.50
  6. Step 6: Final answer
    x = 1,134,212.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.