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Finding the Third Proportional to 129,108 and 284,316

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Solution

The third proportional to 129,108 and 284,316 is: 626,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,108 : 284,316 = 284,316 : x
  2. Step 2: Convert to fraction form
    129,108/284,316 = 284,316/x
  3. Step 3: Cross multiply
    129,108x = 284,316 × 284,316
  4. Step 4: Simplify right side
    129,108x = 80,835,587,856
  5. Step 5: Solve for x
    x = 80,835,587,856/129,108
  6. Step 6: Final answer
    x = 626,108.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.