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Finding the Third Proportional to 216,831.94 and 317,845.27

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Solution

The third proportional to 216,831.94 and 317,845.27 is: 465,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,831.94 : 317,845.27 = 317,845.27 : x
  2. Step 2: Convert to fraction form
    216,831.94/317,845.27 = 317,845.27/x
  3. Step 3: Cross multiply
    216,831.94x = 317,845.27 × 317,845.27
  4. Step 4: Simplify right side
    216,831.94x = 101,025,612,880.23
  5. Step 5: Solve for x
    x = 101,025,612,880.23/216,831.94
  6. Step 6: Final answer
    x = 465,916.66

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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.