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Finding the Third Proportional to 129,492 and 199,989

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Solution

The third proportional to 129,492 and 199,989 is: 308,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,492 : 199,989 = 199,989 : x
  2. Step 2: Convert to fraction form
    129,492/199,989 = 199,989/x
  3. Step 3: Cross multiply
    129,492x = 199,989 × 199,989
  4. Step 4: Simplify right side
    129,492x = 39,995,600,121
  5. Step 5: Solve for x
    x = 39,995,600,121/129,492
  6. Step 6: Final answer
    x = 308,865.41

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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.