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Finding the Third Proportional to 221,510 and 334,569

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Solution

The third proportional to 221,510 and 334,569 is: 505,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,510 : 334,569 = 334,569 : x
  2. Step 2: Convert to fraction form
    221,510/334,569 = 334,569/x
  3. Step 3: Cross multiply
    221,510x = 334,569 × 334,569
  4. Step 4: Simplify right side
    221,510x = 111,936,415,761
  5. Step 5: Solve for x
    x = 111,936,415,761/221,510
  6. Step 6: Final answer
    x = 505,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.