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Finding the Third Proportional to 178,570 and 381,358

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Solution

The third proportional to 178,570 and 381,358 is: 814,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,570 : 381,358 = 381,358 : x
  2. Step 2: Convert to fraction form
    178,570/381,358 = 381,358/x
  3. Step 3: Cross multiply
    178,570x = 381,358 × 381,358
  4. Step 4: Simplify right side
    178,570x = 145,433,924,164
  5. Step 5: Solve for x
    x = 145,433,924,164/178,570
  6. Step 6: Final answer
    x = 814,436.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.