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Finding the Third Proportional to 272,894 and 421,005

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Solution

The third proportional to 272,894 and 421,005 is: 649,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894 : 421,005 = 421,005 : x
  2. Step 2: Convert to fraction form
    272,894/421,005 = 421,005/x
  3. Step 3: Cross multiply
    272,894x = 421,005 × 421,005
  4. Step 4: Simplify right side
    272,894x = 177,245,210,025
  5. Step 5: Solve for x
    x = 177,245,210,025/272,894
  6. Step 6: Final answer
    x = 649,502.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.