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Finding the Third Proportional to 77,995.88 and 159,688.13

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Solution

The third proportional to 77,995.88 and 159,688.13 is: 326,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,995.88 : 159,688.13 = 159,688.13 : x
  2. Step 2: Convert to fraction form
    77,995.88/159,688.13 = 159,688.13/x
  3. Step 3: Cross multiply
    77,995.88x = 159,688.13 × 159,688.13
  4. Step 4: Simplify right side
    77,995.88x = 25,500,297,266.02
  5. Step 5: Solve for x
    x = 25,500,297,266.02/77,995.88
  6. Step 6: Final answer
    x = 326,944.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.