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Finding the Third Proportional to 518,357.25 and 811,395.56

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Solution

The third proportional to 518,357.25 and 811,395.56 is: 1,270,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,357.25 : 811,395.56 = 811,395.56 : x
  2. Step 2: Convert to fraction form
    518,357.25/811,395.56 = 811,395.56/x
  3. Step 3: Cross multiply
    518,357.25x = 811,395.56 × 811,395.56
  4. Step 4: Simplify right side
    518,357.25x = 658,362,758,844.69
  5. Step 5: Solve for x
    x = 658,362,758,844.69/518,357.25
  6. Step 6: Final answer
    x = 1,270,094.63

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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.