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Finding the Third Proportional to 518,015.25 and 785,072.25

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Solution

The third proportional to 518,015.25 and 785,072.25 is: 1,189,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,015.25 : 785,072.25 = 785,072.25 : x
  2. Step 2: Convert to fraction form
    518,015.25/785,072.25 = 785,072.25/x
  3. Step 3: Cross multiply
    518,015.25x = 785,072.25 × 785,072.25
  4. Step 4: Simplify right side
    518,015.25x = 616,338,437,720.06
  5. Step 5: Solve for x
    x = 616,338,437,720.06/518,015.25
  6. Step 6: Final answer
    x = 1,189,807.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.