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Finding the Third Proportional to 105,438 and 164,205

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Solution

The third proportional to 105,438 and 164,205 is: 255,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438 : 164,205 = 164,205 : x
  2. Step 2: Convert to fraction form
    105,438/164,205 = 164,205/x
  3. Step 3: Cross multiply
    105,438x = 164,205 × 164,205
  4. Step 4: Simplify right side
    105,438x = 26,963,282,025
  5. Step 5: Solve for x
    x = 26,963,282,025/105,438
  6. Step 6: Final answer
    x = 255,726.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.