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Finding the Third Proportional to 178,374 and 381,658

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Solution

The third proportional to 178,374 and 381,658 is: 816,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,374 : 381,658 = 381,658 : x
  2. Step 2: Convert to fraction form
    178,374/381,658 = 381,658/x
  3. Step 3: Cross multiply
    178,374x = 381,658 × 381,658
  4. Step 4: Simplify right side
    178,374x = 145,662,828,964
  5. Step 5: Solve for x
    x = 145,662,828,964/178,374
  6. Step 6: Final answer
    x = 816,614.69

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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.