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Finding the Third Proportional to 88,623 and 136,220

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Solution

The third proportional to 88,623 and 136,220 is: 209,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,623 : 136,220 = 136,220 : x
  2. Step 2: Convert to fraction form
    88,623/136,220 = 136,220/x
  3. Step 3: Cross multiply
    88,623x = 136,220 × 136,220
  4. Step 4: Simplify right side
    88,623x = 18,555,888,400
  5. Step 5: Solve for x
    x = 18,555,888,400/88,623
  6. Step 6: Final answer
    x = 209,380.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.