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Finding the Third Proportional to 129,670.88 and 197,171.72

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Solution

The third proportional to 129,670.88 and 197,171.72 is: 299,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,670.88 : 197,171.72 = 197,171.72 : x
  2. Step 2: Convert to fraction form
    129,670.88/197,171.72 = 197,171.72/x
  3. Step 3: Cross multiply
    129,670.88x = 197,171.72 × 197,171.72
  4. Step 4: Simplify right side
    129,670.88x = 38,876,686,674.83
  5. Step 5: Solve for x
    x = 38,876,686,674.83/129,670.88
  6. Step 6: Final answer
    x = 299,810.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.