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Finding the Third Proportional to 149,094 and 239,409

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Solution

The third proportional to 149,094 and 239,409 is: 384,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,094 : 239,409 = 239,409 : x
  2. Step 2: Convert to fraction form
    149,094/239,409 = 239,409/x
  3. Step 3: Cross multiply
    149,094x = 239,409 × 239,409
  4. Step 4: Simplify right side
    149,094x = 57,316,669,281
  5. Step 5: Solve for x
    x = 57,316,669,281/149,094
  6. Step 6: Final answer
    x = 384,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.