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Finding the Third Proportional to 15,652,305 and 20,582,707.50

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Solution

The third proportional to 15,652,305 and 20,582,707.50 is: 27,066,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652,305 : 20,582,707.50 = 20,582,707.50 : x
  2. Step 2: Convert to fraction form
    15,652,305/20,582,707.50 = 20,582,707.50/x
  3. Step 3: Cross multiply
    15,652,305x = 20,582,707.50 × 20,582,707.50
  4. Step 4: Simplify right side
    15,652,305x = 423,647,848,030,556.25
  5. Step 5: Solve for x
    x = 423,647,848,030,556.25/15,652,305
  6. Step 6: Final answer
    x = 27,066,163.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.