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Finding the Third Proportional to 283,792.31 and 426,880.69

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Solution

The third proportional to 283,792.31 and 426,880.69 is: 642,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,792.31 : 426,880.69 = 426,880.69 : x
  2. Step 2: Convert to fraction form
    283,792.31/426,880.69 = 426,880.69/x
  3. Step 3: Cross multiply
    283,792.31x = 426,880.69 × 426,880.69
  4. Step 4: Simplify right side
    283,792.31x = 182,227,121,360.47
  5. Step 5: Solve for x
    x = 182,227,121,360.47/283,792.31
  6. Step 6: Final answer
    x = 642,114.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.