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Finding the Third Proportional to 299,821.50 and 455,872.50

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Solution

The third proportional to 299,821.50 and 455,872.50 is: 693,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,821.50 : 455,872.50 = 455,872.50 : x
  2. Step 2: Convert to fraction form
    299,821.50/455,872.50 = 455,872.50/x
  3. Step 3: Cross multiply
    299,821.50x = 455,872.50 × 455,872.50
  4. Step 4: Simplify right side
    299,821.50x = 207,819,736,256.25
  5. Step 5: Solve for x
    x = 207,819,736,256.25/299,821.50
  6. Step 6: Final answer
    x = 693,144.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.