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Finding the Third Proportional to 178,020 and 381,312

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Solution

The third proportional to 178,020 and 381,312 is: 816,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,020 : 381,312 = 381,312 : x
  2. Step 2: Convert to fraction form
    178,020/381,312 = 381,312/x
  3. Step 3: Cross multiply
    178,020x = 381,312 × 381,312
  4. Step 4: Simplify right side
    178,020x = 145,398,841,344
  5. Step 5: Solve for x
    x = 145,398,841,344/178,020
  6. Step 6: Final answer
    x = 816,755.65

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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.