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Finding the Third Proportional to 178,878 and 242,072

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Solution

The third proportional to 178,878 and 242,072 is: 327,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,878 : 242,072 = 242,072 : x
  2. Step 2: Convert to fraction form
    178,878/242,072 = 242,072/x
  3. Step 3: Cross multiply
    178,878x = 242,072 × 242,072
  4. Step 4: Simplify right side
    178,878x = 58,598,853,184
  5. Step 5: Solve for x
    x = 58,598,853,184/178,878
  6. Step 6: Final answer
    x = 327,591.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.