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Finding the Third Proportional to 88,128 and 136,506

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Solution

The third proportional to 88,128 and 136,506 is: 211,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,128 : 136,506 = 136,506 : x
  2. Step 2: Convert to fraction form
    88,128/136,506 = 136,506/x
  3. Step 3: Cross multiply
    88,128x = 136,506 × 136,506
  4. Step 4: Simplify right side
    88,128x = 18,633,888,036
  5. Step 5: Solve for x
    x = 18,633,888,036/88,128
  6. Step 6: Final answer
    x = 211,441.18

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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.