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Finding the Third Proportional to 13,532,994 and 20,728,143

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Solution

The third proportional to 13,532,994 and 20,728,143 is: 31,748,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532,994 : 20,728,143 = 20,728,143 : x
  2. Step 2: Convert to fraction form
    13,532,994/20,728,143 = 20,728,143/x
  3. Step 3: Cross multiply
    13,532,994x = 20,728,143 × 20,728,143
  4. Step 4: Simplify right side
    13,532,994x = 429,655,912,228,449
  5. Step 5: Solve for x
    x = 429,655,912,228,449/13,532,994
  6. Step 6: Final answer
    x = 31,748,769.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.