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Finding the Third Proportional to 481,345.88 and 757,041.19

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Solution

The third proportional to 481,345.88 and 757,041.19 is: 1,190,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,345.88 : 757,041.19 = 757,041.19 : x
  2. Step 2: Convert to fraction form
    481,345.88/757,041.19 = 757,041.19/x
  3. Step 3: Cross multiply
    481,345.88x = 757,041.19 × 757,041.19
  4. Step 4: Simplify right side
    481,345.88x = 573,111,359,571.41
  5. Step 5: Solve for x
    x = 573,111,359,571.41/481,345.88
  6. Step 6: Final answer
    x = 1,190,643.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.