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Finding the Third Proportional to 288,678.38 and 415,829.25

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Solution

The third proportional to 288,678.38 and 415,829.25 is: 598,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,678.38 : 415,829.25 = 415,829.25 : x
  2. Step 2: Convert to fraction form
    288,678.38/415,829.25 = 415,829.25/x
  3. Step 3: Cross multiply
    288,678.38x = 415,829.25 × 415,829.25
  4. Step 4: Simplify right side
    288,678.38x = 172,913,965,155.56
  5. Step 5: Solve for x
    x = 172,913,965,155.56/288,678.38
  6. Step 6: Final answer
    x = 598,984.82

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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.