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Finding the Third Proportional to 283,040 and 418,080

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Solution

The third proportional to 283,040 and 418,080 is: 617,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,040 : 418,080 = 418,080 : x
  2. Step 2: Convert to fraction form
    283,040/418,080 = 418,080/x
  3. Step 3: Cross multiply
    283,040x = 418,080 × 418,080
  4. Step 4: Simplify right side
    283,040x = 174,790,886,400
  5. Step 5: Solve for x
    x = 174,790,886,400/283,040
  6. Step 6: Final answer
    x = 617,548.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.