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Finding the Third Proportional to 101,138.50 and 145,686.50

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Solution

The third proportional to 101,138.50 and 145,686.50 is: 209,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.50 : 145,686.50 = 145,686.50 : x
  2. Step 2: Convert to fraction form
    101,138.50/145,686.50 = 145,686.50/x
  3. Step 3: Cross multiply
    101,138.50x = 145,686.50 × 145,686.50
  4. Step 4: Simplify right side
    101,138.50x = 21,224,556,282.25
  5. Step 5: Solve for x
    x = 21,224,556,282.25/101,138.50
  6. Step 6: Final answer
    x = 209,856.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.