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Finding the Third Proportional to 152,619 and 331,502

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Solution

The third proportional to 152,619 and 331,502 is: 720,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,619 : 331,502 = 331,502 : x
  2. Step 2: Convert to fraction form
    152,619/331,502 = 331,502/x
  3. Step 3: Cross multiply
    152,619x = 331,502 × 331,502
  4. Step 4: Simplify right side
    152,619x = 109,893,576,004
  5. Step 5: Solve for x
    x = 109,893,576,004/152,619
  6. Step 6: Final answer
    x = 720,051.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.