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Finding the Third Proportional to 288,285.75 and 612,046.13

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Solution

The third proportional to 288,285.75 and 612,046.13 is: 1,299,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,285.75 : 612,046.13 = 612,046.13 : x
  2. Step 2: Convert to fraction form
    288,285.75/612,046.13 = 612,046.13/x
  3. Step 3: Cross multiply
    288,285.75x = 612,046.13 × 612,046.13
  4. Step 4: Simplify right side
    288,285.75x = 374,600,459,127.52
  5. Step 5: Solve for x
    x = 374,600,459,127.52/288,285.75
  6. Step 6: Final answer
    x = 1,299,406.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.