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Finding the Third Proportional to 154,521 and 239,132.25

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Solution

The third proportional to 154,521 and 239,132.25 is: 370,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,521 : 239,132.25 = 239,132.25 : x
  2. Step 2: Convert to fraction form
    154,521/239,132.25 = 239,132.25/x
  3. Step 3: Cross multiply
    154,521x = 239,132.25 × 239,132.25
  4. Step 4: Simplify right side
    154,521x = 57,184,232,990.06
  5. Step 5: Solve for x
    x = 57,184,232,990.06/154,521
  6. Step 6: Final answer
    x = 370,074.18

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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.