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Finding the Third Proportional to 178,887 and 242,916

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Solution

The third proportional to 178,887 and 242,916 is: 329,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,887 : 242,916 = 242,916 : x
  2. Step 2: Convert to fraction form
    178,887/242,916 = 242,916/x
  3. Step 3: Cross multiply
    178,887x = 242,916 × 242,916
  4. Step 4: Simplify right side
    178,887x = 59,008,183,056
  5. Step 5: Solve for x
    x = 59,008,183,056/178,887
  6. Step 6: Final answer
    x = 329,862.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.