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Finding the Third Proportional to 129,029.63 and 199,297.13

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Solution

The third proportional to 129,029.63 and 199,297.13 is: 307,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,029.63 : 199,297.13 = 199,297.13 : x
  2. Step 2: Convert to fraction form
    129,029.63/199,297.13 = 199,297.13/x
  3. Step 3: Cross multiply
    129,029.63x = 199,297.13 × 199,297.13
  4. Step 4: Simplify right side
    129,029.63x = 39,719,344,033.27
  5. Step 5: Solve for x
    x = 39,719,344,033.27/129,029.63
  6. Step 6: Final answer
    x = 307,831.20

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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.