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Finding the Third Proportional to 104,580.38 and 157,109.06

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Solution

The third proportional to 104,580.38 and 157,109.06 is: 236,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,580.38 : 157,109.06 = 157,109.06 : x
  2. Step 2: Convert to fraction form
    104,580.38/157,109.06 = 157,109.06/x
  3. Step 3: Cross multiply
    104,580.38x = 157,109.06 × 157,109.06
  4. Step 4: Simplify right side
    104,580.38x = 24,683,257,519.63
  5. Step 5: Solve for x
    x = 24,683,257,519.63/104,580.38
  6. Step 6: Final answer
    x = 236,021.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.