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Finding the Third Proportional to 349,272 and 763,929

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Solution

The third proportional to 349,272 and 763,929 is: 1,670,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,272 : 763,929 = 763,929 : x
  2. Step 2: Convert to fraction form
    349,272/763,929 = 763,929/x
  3. Step 3: Cross multiply
    349,272x = 763,929 × 763,929
  4. Step 4: Simplify right side
    349,272x = 583,587,517,041
  5. Step 5: Solve for x
    x = 583,587,517,041/349,272
  6. Step 6: Final answer
    x = 1,670,868.31

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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.