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Finding the Third Proportional to 178,889 and 242,919

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Solution

The third proportional to 178,889 and 242,919 is: 329,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,889 : 242,919 = 242,919 : x
  2. Step 2: Convert to fraction form
    178,889/242,919 = 242,919/x
  3. Step 3: Cross multiply
    178,889x = 242,919 × 242,919
  4. Step 4: Simplify right side
    178,889x = 59,009,640,561
  5. Step 5: Solve for x
    x = 59,009,640,561/178,889
  6. Step 6: Final answer
    x = 329,867.35

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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.