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Finding the Third Proportional to 283,334.63 and 427,728.94

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Solution

The third proportional to 283,334.63 and 427,728.94 is: 645,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,334.63 : 427,728.94 = 427,728.94 : x
  2. Step 2: Convert to fraction form
    283,334.63/427,728.94 = 427,728.94/x
  3. Step 3: Cross multiply
    283,334.63x = 427,728.94 × 427,728.94
  4. Step 4: Simplify right side
    283,334.63x = 182,952,043,974.88
  5. Step 5: Solve for x
    x = 182,952,043,974.88/283,334.63
  6. Step 6: Final answer
    x = 645,710.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.