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Finding the Third Proportional to 58,620.38 and 128,270.25

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Solution

The third proportional to 58,620.38 and 128,270.25 is: 280,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,620.38 : 128,270.25 = 128,270.25 : x
  2. Step 2: Convert to fraction form
    58,620.38/128,270.25 = 128,270.25/x
  3. Step 3: Cross multiply
    58,620.38x = 128,270.25 × 128,270.25
  4. Step 4: Simplify right side
    58,620.38x = 16,453,257,035.06
  5. Step 5: Solve for x
    x = 16,453,257,035.06/58,620.38
  6. Step 6: Final answer
    x = 280,674.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.