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Finding the Third Proportional to 102,066 and 216,486

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Solution

The third proportional to 102,066 and 216,486 is: 459,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,066 : 216,486 = 216,486 : x
  2. Step 2: Convert to fraction form
    102,066/216,486 = 216,486/x
  3. Step 3: Cross multiply
    102,066x = 216,486 × 216,486
  4. Step 4: Simplify right side
    102,066x = 46,866,188,196
  5. Step 5: Solve for x
    x = 46,866,188,196/102,066
  6. Step 6: Final answer
    x = 459,175.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.