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Finding the Third Proportional to 153,396 and 331,464

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Solution

The third proportional to 153,396 and 331,464 is: 716,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,396 : 331,464 = 331,464 : x
  2. Step 2: Convert to fraction form
    153,396/331,464 = 331,464/x
  3. Step 3: Cross multiply
    153,396x = 331,464 × 331,464
  4. Step 4: Simplify right side
    153,396x = 109,868,383,296
  5. Step 5: Solve for x
    x = 109,868,383,296/153,396
  6. Step 6: Final answer
    x = 716,240.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.