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Finding the Third Proportional to 357,252 and 485,158

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Solution

The third proportional to 357,252 and 485,158 is: 658,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,252 : 485,158 = 485,158 : x
  2. Step 2: Convert to fraction form
    357,252/485,158 = 485,158/x
  3. Step 3: Cross multiply
    357,252x = 485,158 × 485,158
  4. Step 4: Simplify right side
    357,252x = 235,378,284,964
  5. Step 5: Solve for x
    x = 235,378,284,964/357,252
  6. Step 6: Final answer
    x = 658,857.85

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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.