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Finding the Third Proportional to 357,300 and 485,230

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Solution

The third proportional to 357,300 and 485,230 is: 658,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,300 : 485,230 = 485,230 : x
  2. Step 2: Convert to fraction form
    357,300/485,230 = 485,230/x
  3. Step 3: Cross multiply
    357,300x = 485,230 × 485,230
  4. Step 4: Simplify right side
    357,300x = 235,448,152,900
  5. Step 5: Solve for x
    x = 235,448,152,900/357,300
  6. Step 6: Final answer
    x = 658,964.88

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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.