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Finding the Third Proportional to 153,004.50 and 331,431

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Solution

The third proportional to 153,004.50 and 331,431 is: 717,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004.50 : 331,431 = 331,431 : x
  2. Step 2: Convert to fraction form
    153,004.50/331,431 = 331,431/x
  3. Step 3: Cross multiply
    153,004.50x = 331,431 × 331,431
  4. Step 4: Simplify right side
    153,004.50x = 109,846,507,761
  5. Step 5: Solve for x
    x = 109,846,507,761/153,004.50
  6. Step 6: Final answer
    x = 717,929.92

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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.