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Finding the Third Proportional to 512,498,009.25 and 765,388,659

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Solution

The third proportional to 512,498,009.25 and 765,388,659 is: 1,143,067,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,009.25 : 765,388,659 = 765,388,659 : x
  2. Step 2: Convert to fraction form
    512,498,009.25/765,388,659 = 765,388,659/x
  3. Step 3: Cross multiply
    512,498,009.25x = 765,388,659 × 765,388,659
  4. Step 4: Simplify right side
    512,498,009.25x = 585,819,799,325,818,240
  5. Step 5: Solve for x
    x = 585,819,799,325,818,240/512,498,009.25
  6. Step 6: Final answer
    x = 1,143,067,463.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.