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Finding the Third Proportional to 540,313.88 and 782,571.38

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Solution

The third proportional to 540,313.88 and 782,571.38 is: 1,133,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,313.88 : 782,571.38 = 782,571.38 : x
  2. Step 2: Convert to fraction form
    540,313.88/782,571.38 = 782,571.38/x
  3. Step 3: Cross multiply
    540,313.88x = 782,571.38 × 782,571.38
  4. Step 4: Simplify right side
    540,313.88x = 612,417,956,969.39
  5. Step 5: Solve for x
    x = 612,417,956,969.39/540,313.88
  6. Step 6: Final answer
    x = 1,133,448.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.