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Finding the Third Proportional to 178,985 and 242,215

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Solution

The third proportional to 178,985 and 242,215 is: 327,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,985 : 242,215 = 242,215 : x
  2. Step 2: Convert to fraction form
    178,985/242,215 = 242,215/x
  3. Step 3: Cross multiply
    178,985x = 242,215 × 242,215
  4. Step 4: Simplify right side
    178,985x = 58,668,106,225
  5. Step 5: Solve for x
    x = 58,668,106,225/178,985
  6. Step 6: Final answer
    x = 327,782.25

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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.