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Finding the Third Proportional to 272,404 and 420,094

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Solution

The third proportional to 272,404 and 420,094 is: 647,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,404 : 420,094 = 420,094 : x
  2. Step 2: Convert to fraction form
    272,404/420,094 = 420,094/x
  3. Step 3: Cross multiply
    272,404x = 420,094 × 420,094
  4. Step 4: Simplify right side
    272,404x = 176,478,968,836
  5. Step 5: Solve for x
    x = 176,478,968,836/272,404
  6. Step 6: Final answer
    x = 647,857.48

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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.