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Finding the Third Proportional to 349,562 and 765,822

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Solution

The third proportional to 349,562 and 765,822 is: 1,677,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,562 : 765,822 = 765,822 : x
  2. Step 2: Convert to fraction form
    349,562/765,822 = 765,822/x
  3. Step 3: Cross multiply
    349,562x = 765,822 × 765,822
  4. Step 4: Simplify right side
    349,562x = 586,483,335,684
  5. Step 5: Solve for x
    x = 586,483,335,684/349,562
  6. Step 6: Final answer
    x = 1,677,766.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.