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Finding the Third Proportional to 220,536 and 349,668

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Solution

The third proportional to 220,536 and 349,668 is: 554,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,536 : 349,668 = 349,668 : x
  2. Step 2: Convert to fraction form
    220,536/349,668 = 349,668/x
  3. Step 3: Cross multiply
    220,536x = 349,668 × 349,668
  4. Step 4: Simplify right side
    220,536x = 122,267,710,224
  5. Step 5: Solve for x
    x = 122,267,710,224/220,536
  6. Step 6: Final answer
    x = 554,411.57

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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.