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Finding the Third Proportional to 122,643 and 164,817

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Solution

The third proportional to 122,643 and 164,817 is: 221,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643 : 164,817 = 164,817 : x
  2. Step 2: Convert to fraction form
    122,643/164,817 = 164,817/x
  3. Step 3: Cross multiply
    122,643x = 164,817 × 164,817
  4. Step 4: Simplify right side
    122,643x = 27,164,643,489
  5. Step 5: Solve for x
    x = 27,164,643,489/122,643
  6. Step 6: Final answer
    x = 221,493.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.