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Finding the Third Proportional to 131,643 and 198,627

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Solution

The third proportional to 131,643 and 198,627 is: 299,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,643 : 198,627 = 198,627 : x
  2. Step 2: Convert to fraction form
    131,643/198,627 = 198,627/x
  3. Step 3: Cross multiply
    131,643x = 198,627 × 198,627
  4. Step 4: Simplify right side
    131,643x = 39,452,685,129
  5. Step 5: Solve for x
    x = 39,452,685,129/131,643
  6. Step 6: Final answer
    x = 299,694.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.