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Finding the Third Proportional to 127,857 and 198,513

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Solution

The third proportional to 127,857 and 198,513 is: 308,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,857 : 198,513 = 198,513 : x
  2. Step 2: Convert to fraction form
    127,857/198,513 = 198,513/x
  3. Step 3: Cross multiply
    127,857x = 198,513 × 198,513
  4. Step 4: Simplify right side
    127,857x = 39,407,411,169
  5. Step 5: Solve for x
    x = 39,407,411,169/127,857
  6. Step 6: Final answer
    x = 308,214.73

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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.