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Finding the Third Proportional to 344,874 and 538,272

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Solution

The third proportional to 344,874 and 538,272 is: 840,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,874 : 538,272 = 538,272 : x
  2. Step 2: Convert to fraction form
    344,874/538,272 = 538,272/x
  3. Step 3: Cross multiply
    344,874x = 538,272 × 538,272
  4. Step 4: Simplify right side
    344,874x = 289,736,745,984
  5. Step 5: Solve for x
    x = 289,736,745,984/344,874
  6. Step 6: Final answer
    x = 840,123.48

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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.