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Finding the Third Proportional to 540,078.38 and 811,552.69

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Solution

The third proportional to 540,078.38 and 811,552.69 is: 1,219,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,078.38 : 811,552.69 = 811,552.69 : x
  2. Step 2: Convert to fraction form
    540,078.38/811,552.69 = 811,552.69/x
  3. Step 3: Cross multiply
    540,078.38x = 811,552.69 × 811,552.69
  4. Step 4: Simplify right side
    540,078.38x = 658,617,764,588.47
  5. Step 5: Solve for x
    x = 658,617,764,588.47/540,078.38
  6. Step 6: Final answer
    x = 1,219,485.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.