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Finding the Third Proportional to 357,216 and 485,133

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Solution

The third proportional to 357,216 and 485,133 is: 658,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,216 : 485,133 = 485,133 : x
  2. Step 2: Convert to fraction form
    357,216/485,133 = 485,133/x
  3. Step 3: Cross multiply
    357,216x = 485,133 × 485,133
  4. Step 4: Simplify right side
    357,216x = 235,354,027,689
  5. Step 5: Solve for x
    x = 235,354,027,689/357,216
  6. Step 6: Final answer
    x = 658,856.34

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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.