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Finding the Third Proportional to 56,144.81 and 128,857.13

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Solution

The third proportional to 56,144.81 and 128,857.13 is: 295,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144.81 : 128,857.13 = 128,857.13 : x
  2. Step 2: Convert to fraction form
    56,144.81/128,857.13 = 128,857.13/x
  3. Step 3: Cross multiply
    56,144.81x = 128,857.13 × 128,857.13
  4. Step 4: Simplify right side
    56,144.81x = 16,604,158,663.27
  5. Step 5: Solve for x
    x = 16,604,158,663.27/56,144.81
  6. Step 6: Final answer
    x = 295,738.07

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.