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Finding the Third Proportional to 270,948 and 421,930

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Solution

The third proportional to 270,948 and 421,930 is: 657,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,948 : 421,930 = 421,930 : x
  2. Step 2: Convert to fraction form
    270,948/421,930 = 421,930/x
  3. Step 3: Cross multiply
    270,948x = 421,930 × 421,930
  4. Step 4: Simplify right side
    270,948x = 178,024,924,900
  5. Step 5: Solve for x
    x = 178,024,924,900/270,948
  6. Step 6: Final answer
    x = 657,044.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.