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Finding the Third Proportional to 221,949 and 347,798

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Solution

The third proportional to 221,949 and 347,798 is: 545,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,949 : 347,798 = 347,798 : x
  2. Step 2: Convert to fraction form
    221,949/347,798 = 347,798/x
  3. Step 3: Cross multiply
    221,949x = 347,798 × 347,798
  4. Step 4: Simplify right side
    221,949x = 120,963,448,804
  5. Step 5: Solve for x
    x = 120,963,448,804/221,949
  6. Step 6: Final answer
    x = 545,005.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.