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Finding the Third Proportional to 151,964 and 330,686

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Solution

The third proportional to 151,964 and 330,686 is: 719,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,964 : 330,686 = 330,686 : x
  2. Step 2: Convert to fraction form
    151,964/330,686 = 330,686/x
  3. Step 3: Cross multiply
    151,964x = 330,686 × 330,686
  4. Step 4: Simplify right side
    151,964x = 109,353,230,596
  5. Step 5: Solve for x
    x = 109,353,230,596/151,964
  6. Step 6: Final answer
    x = 719,599.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.