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Finding the Third Proportional to 120,888 and 284,358

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Solution

The third proportional to 120,888 and 284,358 is: 668,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,888 : 284,358 = 284,358 : x
  2. Step 2: Convert to fraction form
    120,888/284,358 = 284,358/x
  3. Step 3: Cross multiply
    120,888x = 284,358 × 284,358
  4. Step 4: Simplify right side
    120,888x = 80,859,472,164
  5. Step 5: Solve for x
    x = 80,859,472,164/120,888
  6. Step 6: Final answer
    x = 668,879.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.