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Finding the Third Proportional to 130,179 and 284,118

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Solution

The third proportional to 130,179 and 284,118 is: 620,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,179 : 284,118 = 284,118 : x
  2. Step 2: Convert to fraction form
    130,179/284,118 = 284,118/x
  3. Step 3: Cross multiply
    130,179x = 284,118 × 284,118
  4. Step 4: Simplify right side
    130,179x = 80,723,037,924
  5. Step 5: Solve for x
    x = 80,723,037,924/130,179
  6. Step 6: Final answer
    x = 620,092.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.