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Finding the Third Proportional to 490,851 and 671,691

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Solution

The third proportional to 490,851 and 671,691 is: 919,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,851 : 671,691 = 671,691 : x
  2. Step 2: Convert to fraction form
    490,851/671,691 = 671,691/x
  3. Step 3: Cross multiply
    490,851x = 671,691 × 671,691
  4. Step 4: Simplify right side
    490,851x = 451,168,799,481
  5. Step 5: Solve for x
    x = 451,168,799,481/490,851
  6. Step 6: Final answer
    x = 919,156.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.