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Finding the Third Proportional to 288,111.09 and 422,822.53

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Solution

The third proportional to 288,111.09 and 422,822.53 is: 620,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,111.09 : 422,822.53 = 422,822.53 : x
  2. Step 2: Convert to fraction form
    288,111.09/422,822.53 = 422,822.53/x
  3. Step 3: Cross multiply
    288,111.09x = 422,822.53 × 422,822.53
  4. Step 4: Simplify right side
    288,111.09x = 178,778,892,932.66
  5. Step 5: Solve for x
    x = 178,778,892,932.66/288,111.09
  6. Step 6: Final answer
    x = 620,520.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.