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Finding the Third Proportional to 391,046 and 590,721

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Solution

The third proportional to 391,046 and 590,721 is: 892,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,046 : 590,721 = 590,721 : x
  2. Step 2: Convert to fraction form
    391,046/590,721 = 590,721/x
  3. Step 3: Cross multiply
    391,046x = 590,721 × 590,721
  4. Step 4: Simplify right side
    391,046x = 348,951,299,841
  5. Step 5: Solve for x
    x = 348,951,299,841/391,046
  6. Step 6: Final answer
    x = 892,353.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.