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Finding the Third Proportional to 113,074.50 and 153,564.75

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Solution

The third proportional to 113,074.50 and 153,564.75 is: 208,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,074.50 : 153,564.75 = 153,564.75 : x
  2. Step 2: Convert to fraction form
    113,074.50/153,564.75 = 153,564.75/x
  3. Step 3: Cross multiply
    113,074.50x = 153,564.75 × 153,564.75
  4. Step 4: Simplify right side
    113,074.50x = 23,582,132,442.56
  5. Step 5: Solve for x
    x = 23,582,132,442.56/113,074.50
  6. Step 6: Final answer
    x = 208,553.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.