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Finding the Third Proportional to 117,798 and 278,045

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Solution

The third proportional to 117,798 and 278,045 is: 656,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,798 : 278,045 = 278,045 : x
  2. Step 2: Convert to fraction form
    117,798/278,045 = 278,045/x
  3. Step 3: Cross multiply
    117,798x = 278,045 × 278,045
  4. Step 4: Simplify right side
    117,798x = 77,309,022,025
  5. Step 5: Solve for x
    x = 77,309,022,025/117,798
  6. Step 6: Final answer
    x = 656,284.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.