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Finding the Third Proportional to 161,878 and 242,815

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Solution

The third proportional to 161,878 and 242,815 is: 364,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878 : 242,815 = 242,815 : x
  2. Step 2: Convert to fraction form
    161,878/242,815 = 242,815/x
  3. Step 3: Cross multiply
    161,878x = 242,815 × 242,815
  4. Step 4: Simplify right side
    161,878x = 58,959,124,225
  5. Step 5: Solve for x
    x = 58,959,124,225/161,878
  6. Step 6: Final answer
    x = 364,219.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.