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Finding the Third Proportional to 154,491 and 239,088

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Solution

The third proportional to 154,491 and 239,088 is: 370,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,491 : 239,088 = 239,088 : x
  2. Step 2: Convert to fraction form
    154,491/239,088 = 239,088/x
  3. Step 3: Cross multiply
    154,491x = 239,088 × 239,088
  4. Step 4: Simplify right side
    154,491x = 57,163,071,744
  5. Step 5: Solve for x
    x = 57,163,071,744/154,491
  6. Step 6: Final answer
    x = 370,009.07

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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.