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Finding the Third Proportional to 220,642 and 349,539

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Solution

The third proportional to 220,642 and 349,539 is: 553,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642 : 349,539 = 349,539 : x
  2. Step 2: Convert to fraction form
    220,642/349,539 = 349,539/x
  3. Step 3: Cross multiply
    220,642x = 349,539 × 349,539
  4. Step 4: Simplify right side
    220,642x = 122,177,512,521
  5. Step 5: Solve for x
    x = 122,177,512,521/220,642
  6. Step 6: Final answer
    x = 553,736.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.