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Finding the Third Proportional to 153,045 and 331,200

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Solution

The third proportional to 153,045 and 331,200 is: 716,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,045 : 331,200 = 331,200 : x
  2. Step 2: Convert to fraction form
    153,045/331,200 = 331,200/x
  3. Step 3: Cross multiply
    153,045x = 331,200 × 331,200
  4. Step 4: Simplify right side
    153,045x = 109,693,440,000
  5. Step 5: Solve for x
    x = 109,693,440,000/153,045
  6. Step 6: Final answer
    x = 716,739.78

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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.