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Finding the Third Proportional to 13,650,120 and 20,561,688

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Solution

The third proportional to 13,650,120 and 20,561,688 is: 30,972,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650,120 : 20,561,688 = 20,561,688 : x
  2. Step 2: Convert to fraction form
    13,650,120/20,561,688 = 20,561,688/x
  3. Step 3: Cross multiply
    13,650,120x = 20,561,688 × 20,561,688
  4. Step 4: Simplify right side
    13,650,120x = 422,783,013,409,344
  5. Step 5: Solve for x
    x = 422,783,013,409,344/13,650,120
  6. Step 6: Final answer
    x = 30,972,842.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.