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Finding the Third Proportional to 357,201 and 485,118

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Solution

The third proportional to 357,201 and 485,118 is: 658,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,201 : 485,118 = 485,118 : x
  2. Step 2: Convert to fraction form
    357,201/485,118 = 485,118/x
  3. Step 3: Cross multiply
    357,201x = 485,118 × 485,118
  4. Step 4: Simplify right side
    357,201x = 235,339,473,924
  5. Step 5: Solve for x
    x = 235,339,473,924/357,201
  6. Step 6: Final answer
    x = 658,843.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.