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Finding the Third Proportional to 154,941.19 and 239,418

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Solution

The third proportional to 154,941.19 and 239,418 is: 369,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,941.19 : 239,418 = 239,418 : x
  2. Step 2: Convert to fraction form
    154,941.19/239,418 = 239,418/x
  3. Step 3: Cross multiply
    154,941.19x = 239,418 × 239,418
  4. Step 4: Simplify right side
    154,941.19x = 57,320,978,724
  5. Step 5: Solve for x
    x = 57,320,978,724/154,941.19
  6. Step 6: Final answer
    x = 369,953.14

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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.