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Finding the Third Proportional to 283,806.28 and 426,905.44

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Solution

The third proportional to 283,806.28 and 426,905.44 is: 642,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,806.28 : 426,905.44 = 426,905.44 : x
  2. Step 2: Convert to fraction form
    283,806.28/426,905.44 = 426,905.44/x
  3. Step 3: Cross multiply
    283,806.28x = 426,905.44 × 426,905.44
  4. Step 4: Simplify right side
    283,806.28x = 182,248,252,567.07
  5. Step 5: Solve for x
    x = 182,248,252,567.07/283,806.28
  6. Step 6: Final answer
    x = 642,157.22

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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.