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Finding the Third Proportional to 288,108 and 415,001.25

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Solution

The third proportional to 288,108 and 415,001.25 is: 597,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,108 : 415,001.25 = 415,001.25 : x
  2. Step 2: Convert to fraction form
    288,108/415,001.25 = 415,001.25/x
  3. Step 3: Cross multiply
    288,108x = 415,001.25 × 415,001.25
  4. Step 4: Simplify right side
    288,108x = 172,226,037,501.56
  5. Step 5: Solve for x
    x = 172,226,037,501.56/288,108
  6. Step 6: Final answer
    x = 597,782.91

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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.