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Finding the Third Proportional to 154,080 and 329,910

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Solution

The third proportional to 154,080 and 329,910 is: 706,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,080 : 329,910 = 329,910 : x
  2. Step 2: Convert to fraction form
    154,080/329,910 = 329,910/x
  3. Step 3: Cross multiply
    154,080x = 329,910 × 329,910
  4. Step 4: Simplify right side
    154,080x = 108,840,608,100
  5. Step 5: Solve for x
    x = 108,840,608,100/154,080
  6. Step 6: Final answer
    x = 706,390.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.