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Finding the Third Proportional to 288,661.57 and 415,803.38

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Solution

The third proportional to 288,661.57 and 415,803.38 is: 598,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,661.57 : 415,803.38 = 415,803.38 : x
  2. Step 2: Convert to fraction form
    288,661.57/415,803.38 = 415,803.38/x
  3. Step 3: Cross multiply
    288,661.57x = 415,803.38 × 415,803.38
  4. Step 4: Simplify right side
    288,661.57x = 172,892,446,661.39
  5. Step 5: Solve for x
    x = 172,892,446,661.39/288,661.57
  6. Step 6: Final answer
    x = 598,945.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.