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Finding the Third Proportional to 13,253,311.13 and 20,509,822.69

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Solution

The third proportional to 13,253,311.13 and 20,509,822.69 is: 31,739,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253,311.13 : 20,509,822.69 = 20,509,822.69 : x
  2. Step 2: Convert to fraction form
    13,253,311.13/20,509,822.69 = 20,509,822.69/x
  3. Step 3: Cross multiply
    13,253,311.13x = 20,509,822.69 × 20,509,822.69
  4. Step 4: Simplify right side
    13,253,311.13x = 420,652,826,672,689.75
  5. Step 5: Solve for x
    x = 420,652,826,672,689.75/13,253,311.13
  6. Step 6: Final answer
    x = 31,739,451.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.