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Finding the Third Proportional to 272,370 and 420,042

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Solution

The third proportional to 272,370 and 420,042 is: 647,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,370 : 420,042 = 420,042 : x
  2. Step 2: Convert to fraction form
    272,370/420,042 = 420,042/x
  3. Step 3: Cross multiply
    272,370x = 420,042 × 420,042
  4. Step 4: Simplify right side
    272,370x = 176,435,281,764
  5. Step 5: Solve for x
    x = 176,435,281,764/272,370
  6. Step 6: Final answer
    x = 647,777.96

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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.