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Finding the Third Proportional to 485,642 and 735,234

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Solution

The third proportional to 485,642 and 735,234 is: 1,113,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,642 : 735,234 = 735,234 : x
  2. Step 2: Convert to fraction form
    485,642/735,234 = 735,234/x
  3. Step 3: Cross multiply
    485,642x = 735,234 × 735,234
  4. Step 4: Simplify right side
    485,642x = 540,569,034,756
  5. Step 5: Solve for x
    x = 540,569,034,756/485,642
  6. Step 6: Final answer
    x = 1,113,101.90

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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.