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Finding the Third Proportional to 109,836 and 149,178

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Solution

The third proportional to 109,836 and 149,178 is: 202,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836 : 149,178 = 149,178 : x
  2. Step 2: Convert to fraction form
    109,836/149,178 = 149,178/x
  3. Step 3: Cross multiply
    109,836x = 149,178 × 149,178
  4. Step 4: Simplify right side
    109,836x = 22,254,075,684
  5. Step 5: Solve for x
    x = 22,254,075,684/109,836
  6. Step 6: Final answer
    x = 202,611.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.