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Finding the Third Proportional to 138,764 and 298,592

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Solution

The third proportional to 138,764 and 298,592 is: 642,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764 : 298,592 = 298,592 : x
  2. Step 2: Convert to fraction form
    138,764/298,592 = 298,592/x
  3. Step 3: Cross multiply
    138,764x = 298,592 × 298,592
  4. Step 4: Simplify right side
    138,764x = 89,157,182,464
  5. Step 5: Solve for x
    x = 89,157,182,464/138,764
  6. Step 6: Final answer
    x = 642,509.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.