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Finding the Third Proportional to 154,020 and 330,960

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Solution

The third proportional to 154,020 and 330,960 is: 711,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,020 : 330,960 = 330,960 : x
  2. Step 2: Convert to fraction form
    154,020/330,960 = 330,960/x
  3. Step 3: Cross multiply
    154,020x = 330,960 × 330,960
  4. Step 4: Simplify right side
    154,020x = 109,534,521,600
  5. Step 5: Solve for x
    x = 109,534,521,600/154,020
  6. Step 6: Final answer
    x = 711,170.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.