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Finding the Third Proportional to 128,420.86 and 204,523.10

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Solution

The third proportional to 128,420.86 and 204,523.10 is: 325,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,420.86 : 204,523.10 = 204,523.10 : x
  2. Step 2: Convert to fraction form
    128,420.86/204,523.10 = 204,523.10/x
  3. Step 3: Cross multiply
    128,420.86x = 204,523.10 × 204,523.10
  4. Step 4: Simplify right side
    128,420.86x = 41,829,699,072.74
  5. Step 5: Solve for x
    x = 41,829,699,072.74/128,420.86
  6. Step 6: Final answer
    x = 325,723.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.