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Finding the Third Proportional to 154,490 and 239,086

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Solution

The third proportional to 154,490 and 239,086 is: 370,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,490 : 239,086 = 239,086 : x
  2. Step 2: Convert to fraction form
    154,490/239,086 = 239,086/x
  3. Step 3: Cross multiply
    154,490x = 239,086 × 239,086
  4. Step 4: Simplify right side
    154,490x = 57,162,115,396
  5. Step 5: Solve for x
    x = 57,162,115,396/154,490
  6. Step 6: Final answer
    x = 370,005.28

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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.