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Finding the Third Proportional to 220,498 and 349,606

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Solution

The third proportional to 220,498 and 349,606 is: 554,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,498 : 349,606 = 349,606 : x
  2. Step 2: Convert to fraction form
    220,498/349,606 = 349,606/x
  3. Step 3: Cross multiply
    220,498x = 349,606 × 349,606
  4. Step 4: Simplify right side
    220,498x = 122,224,355,236
  5. Step 5: Solve for x
    x = 122,224,355,236/220,498
  6. Step 6: Final answer
    x = 554,310.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.