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Finding the Third Proportional to 391,044 and 590,718

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Solution

The third proportional to 391,044 and 590,718 is: 892,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,044 : 590,718 = 590,718 : x
  2. Step 2: Convert to fraction form
    391,044/590,718 = 590,718/x
  3. Step 3: Cross multiply
    391,044x = 590,718 × 590,718
  4. Step 4: Simplify right side
    391,044x = 348,947,755,524
  5. Step 5: Solve for x
    x = 348,947,755,524/391,044
  6. Step 6: Final answer
    x = 892,349.08

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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.