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Finding the Third Proportional to 299,828 and 455,880

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Solution

The third proportional to 299,828 and 455,880 is: 693,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,828 : 455,880 = 455,880 : x
  2. Step 2: Convert to fraction form
    299,828/455,880 = 455,880/x
  3. Step 3: Cross multiply
    299,828x = 455,880 × 455,880
  4. Step 4: Simplify right side
    299,828x = 207,826,574,400
  5. Step 5: Solve for x
    x = 207,826,574,400/299,828
  6. Step 6: Final answer
    x = 693,152.66

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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.