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Finding the Third Proportional to 283,264 and 427,088

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Solution

The third proportional to 283,264 and 427,088 is: 643,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,264 : 427,088 = 427,088 : x
  2. Step 2: Convert to fraction form
    283,264/427,088 = 427,088/x
  3. Step 3: Cross multiply
    283,264x = 427,088 × 427,088
  4. Step 4: Simplify right side
    283,264x = 182,404,159,744
  5. Step 5: Solve for x
    x = 182,404,159,744/283,264
  6. Step 6: Final answer
    x = 643,936.96

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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.