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Finding the Third Proportional to 129,420 and 199,904

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Solution

The third proportional to 129,420 and 199,904 is: 308,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,420 : 199,904 = 199,904 : x
  2. Step 2: Convert to fraction form
    129,420/199,904 = 199,904/x
  3. Step 3: Cross multiply
    129,420x = 199,904 × 199,904
  4. Step 4: Simplify right side
    129,420x = 39,961,609,216
  5. Step 5: Solve for x
    x = 39,961,609,216/129,420
  6. Step 6: Final answer
    x = 308,774.60

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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.