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Finding the Third Proportional to 220,724 and 349,742

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Solution

The third proportional to 220,724 and 349,742 is: 554,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,724 : 349,742 = 349,742 : x
  2. Step 2: Convert to fraction form
    220,724/349,742 = 349,742/x
  3. Step 3: Cross multiply
    220,724x = 349,742 × 349,742
  4. Step 4: Simplify right side
    220,724x = 122,319,466,564
  5. Step 5: Solve for x
    x = 122,319,466,564/220,724
  6. Step 6: Final answer
    x = 554,173.84

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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.