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Finding the Third Proportional to 216,108 and 317,155

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Solution

The third proportional to 216,108 and 317,155 is: 465,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,108 : 317,155 = 317,155 : x
  2. Step 2: Convert to fraction form
    216,108/317,155 = 317,155/x
  3. Step 3: Cross multiply
    216,108x = 317,155 × 317,155
  4. Step 4: Simplify right side
    216,108x = 100,587,294,025
  5. Step 5: Solve for x
    x = 100,587,294,025/216,108
  6. Step 6: Final answer
    x = 465,449.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.