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Finding the Third Proportional to 512,388 and 765,759

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Solution

The third proportional to 512,388 and 765,759 is: 1,144,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,388 : 765,759 = 765,759 : x
  2. Step 2: Convert to fraction form
    512,388/765,759 = 765,759/x
  3. Step 3: Cross multiply
    512,388x = 765,759 × 765,759
  4. Step 4: Simplify right side
    512,388x = 586,386,846,081
  5. Step 5: Solve for x
    x = 586,386,846,081/512,388
  6. Step 6: Final answer
    x = 1,144,419.55

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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.