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Finding the Third Proportional to 89,160.06 and 138,501.09

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Solution

The third proportional to 89,160.06 and 138,501.09 is: 215,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,160.06 : 138,501.09 = 138,501.09 : x
  2. Step 2: Convert to fraction form
    89,160.06/138,501.09 = 138,501.09/x
  3. Step 3: Cross multiply
    89,160.06x = 138,501.09 × 138,501.09
  4. Step 4: Simplify right side
    89,160.06x = 19,182,552,969.95
  5. Step 5: Solve for x
    x = 19,182,552,969.95/89,160.06
  6. Step 6: Final answer
    x = 215,147.37

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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.