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Finding the Third Proportional to 203,159.81 and 315,010.69

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Solution

The third proportional to 203,159.81 and 315,010.69 is: 488,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,159.81 : 315,010.69 = 315,010.69 : x
  2. Step 2: Convert to fraction form
    203,159.81/315,010.69 = 315,010.69/x
  3. Step 3: Cross multiply
    203,159.81x = 315,010.69 × 315,010.69
  4. Step 4: Simplify right side
    203,159.81x = 99,231,733,239.22
  5. Step 5: Solve for x
    x = 99,231,733,239.22/203,159.81
  6. Step 6: Final answer
    x = 488,441.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.