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Finding the Third Proportional to 129,128 and 189,752

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Solution

The third proportional to 129,128 and 189,752 is: 278,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,128 : 189,752 = 189,752 : x
  2. Step 2: Convert to fraction form
    129,128/189,752 = 189,752/x
  3. Step 3: Cross multiply
    129,128x = 189,752 × 189,752
  4. Step 4: Simplify right side
    129,128x = 36,005,821,504
  5. Step 5: Solve for x
    x = 36,005,821,504/129,128
  6. Step 6: Final answer
    x = 278,838.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.