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Finding the Third Proportional to 100,440 and 216,255

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Solution

The third proportional to 100,440 and 216,255 is: 465,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 216,255 = 216,255 : x
  2. Step 2: Convert to fraction form
    100,440/216,255 = 216,255/x
  3. Step 3: Cross multiply
    100,440x = 216,255 × 216,255
  4. Step 4: Simplify right side
    100,440x = 46,766,225,025
  5. Step 5: Solve for x
    x = 46,766,225,025/100,440
  6. Step 6: Final answer
    x = 465,613.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.