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Finding the Third Proportional to 128,769 and 195,816

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Solution

The third proportional to 128,769 and 195,816 is: 297,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769 : 195,816 = 195,816 : x
  2. Step 2: Convert to fraction form
    128,769/195,816 = 195,816/x
  3. Step 3: Cross multiply
    128,769x = 195,816 × 195,816
  4. Step 4: Simplify right side
    128,769x = 38,343,905,856
  5. Step 5: Solve for x
    x = 38,343,905,856/128,769
  6. Step 6: Final answer
    x = 297,772.80

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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.