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Finding the Third Proportional to 88,803 and 138,021.75

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Solution

The third proportional to 88,803 and 138,021.75 is: 214,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,803 : 138,021.75 = 138,021.75 : x
  2. Step 2: Convert to fraction form
    88,803/138,021.75 = 138,021.75/x
  3. Step 3: Cross multiply
    88,803x = 138,021.75 × 138,021.75
  4. Step 4: Simplify right side
    88,803x = 19,050,003,473.06
  5. Step 5: Solve for x
    x = 19,050,003,473.06/88,803
  6. Step 6: Final answer
    x = 214,519.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.