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Finding the Third Proportional to 85,620 and 136,356.75

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Solution

The third proportional to 85,620 and 136,356.75 is: 217,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,620 : 136,356.75 = 136,356.75 : x
  2. Step 2: Convert to fraction form
    85,620/136,356.75 = 136,356.75/x
  3. Step 3: Cross multiply
    85,620x = 136,356.75 × 136,356.75
  4. Step 4: Simplify right side
    85,620x = 18,593,163,270.56
  5. Step 5: Solve for x
    x = 18,593,163,270.56/85,620
  6. Step 6: Final answer
    x = 217,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.