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Finding the Third Proportional to 220,640 and 349,536

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Solution

The third proportional to 220,640 and 349,536 is: 553,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,640 : 349,536 = 349,536 : x
  2. Step 2: Convert to fraction form
    220,640/349,536 = 349,536/x
  3. Step 3: Cross multiply
    220,640x = 349,536 × 349,536
  4. Step 4: Simplify right side
    220,640x = 122,175,415,296
  5. Step 5: Solve for x
    x = 122,175,415,296/220,640
  6. Step 6: Final answer
    x = 553,731.94

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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.