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Finding the Third Proportional to 129,498 and 199,998

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Solution

The third proportional to 129,498 and 199,998 is: 308,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,498 : 199,998 = 199,998 : x
  2. Step 2: Convert to fraction form
    129,498/199,998 = 199,998/x
  3. Step 3: Cross multiply
    129,498x = 199,998 × 199,998
  4. Step 4: Simplify right side
    129,498x = 39,999,200,004
  5. Step 5: Solve for x
    x = 39,999,200,004/129,498
  6. Step 6: Final answer
    x = 308,878.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.