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Finding the Third Proportional to 138,534.75 and 298,256.63

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Solution

The third proportional to 138,534.75 and 298,256.63 is: 642,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534.75 : 298,256.63 = 298,256.63 : x
  2. Step 2: Convert to fraction form
    138,534.75/298,256.63 = 298,256.63/x
  3. Step 3: Cross multiply
    138,534.75x = 298,256.63 × 298,256.63
  4. Step 4: Simplify right side
    138,534.75x = 88,957,014,356.39
  5. Step 5: Solve for x
    x = 88,957,014,356.39/138,534.75
  6. Step 6: Final answer
    x = 642,127.80

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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.