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Finding the Third Proportional to 178,628 and 284,342

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Solution

The third proportional to 178,628 and 284,342 is: 452,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628 : 284,342 = 284,342 : x
  2. Step 2: Convert to fraction form
    178,628/284,342 = 284,342/x
  3. Step 3: Cross multiply
    178,628x = 284,342 × 284,342
  4. Step 4: Simplify right side
    178,628x = 80,850,372,964
  5. Step 5: Solve for x
    x = 80,850,372,964/178,628
  6. Step 6: Final answer
    x = 452,618.70

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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.