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Finding the Third Proportional to 178,900 and 242,106

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Solution

The third proportional to 178,900 and 242,106 is: 327,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,900 : 242,106 = 242,106 : x
  2. Step 2: Convert to fraction form
    178,900/242,106 = 242,106/x
  3. Step 3: Cross multiply
    178,900x = 242,106 × 242,106
  4. Step 4: Simplify right side
    178,900x = 58,615,315,236
  5. Step 5: Solve for x
    x = 58,615,315,236/178,900
  6. Step 6: Final answer
    x = 327,642.90

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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.