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Finding the Third Proportional to 105,638.63 and 163,828.69

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Solution

The third proportional to 105,638.63 and 163,828.69 is: 254,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,638.63 : 163,828.69 = 163,828.69 : x
  2. Step 2: Convert to fraction form
    105,638.63/163,828.69 = 163,828.69/x
  3. Step 3: Cross multiply
    105,638.63x = 163,828.69 × 163,828.69
  4. Step 4: Simplify right side
    105,638.63x = 26,839,838,847.97
  5. Step 5: Solve for x
    x = 26,839,838,847.97/105,638.63
  6. Step 6: Final answer
    x = 254,072.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.