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Finding the Third Proportional to 129,022 and 199,365

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Solution

The third proportional to 129,022 and 199,365 is: 308,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022 : 199,365 = 199,365 : x
  2. Step 2: Convert to fraction form
    129,022/199,365 = 199,365/x
  3. Step 3: Cross multiply
    129,022x = 199,365 × 199,365
  4. Step 4: Simplify right side
    129,022x = 39,746,403,225
  5. Step 5: Solve for x
    x = 39,746,403,225/129,022
  6. Step 6: Final answer
    x = 308,059.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.