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Finding the Third Proportional to 129,368.25 and 178,142.63

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Solution

The third proportional to 129,368.25 and 178,142.63 is: 245,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,368.25 : 178,142.63 = 178,142.63 : x
  2. Step 2: Convert to fraction form
    129,368.25/178,142.63 = 178,142.63/x
  3. Step 3: Cross multiply
    129,368.25x = 178,142.63 × 178,142.63
  4. Step 4: Simplify right side
    129,368.25x = 31,734,794,841.89
  5. Step 5: Solve for x
    x = 31,734,794,841.89/129,368.25
  6. Step 6: Final answer
    x = 245,305.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.