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Finding the Third Proportional to 178,646 and 284,369

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Solution

The third proportional to 178,646 and 284,369 is: 452,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646 : 284,369 = 284,369 : x
  2. Step 2: Convert to fraction form
    178,646/284,369 = 284,369/x
  3. Step 3: Cross multiply
    178,646x = 284,369 × 284,369
  4. Step 4: Simplify right side
    178,646x = 80,865,728,161
  5. Step 5: Solve for x
    x = 80,865,728,161/178,646
  6. Step 6: Final answer
    x = 452,659.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.