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Finding the Third Proportional to 328,014 and 720,606

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Solution

The third proportional to 328,014 and 720,606 is: 1,583,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,014 : 720,606 = 720,606 : x
  2. Step 2: Convert to fraction form
    328,014/720,606 = 720,606/x
  3. Step 3: Cross multiply
    328,014x = 720,606 × 720,606
  4. Step 4: Simplify right side
    328,014x = 519,273,007,236
  5. Step 5: Solve for x
    x = 519,273,007,236/328,014
  6. Step 6: Final answer
    x = 1,583,081.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.