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Finding the Third Proportional to 3,638,161 and 7,921,768.50

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Solution

The third proportional to 3,638,161 and 7,921,768.50 is: 17,248,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,161 : 7,921,768.50 = 7,921,768.50 : x
  2. Step 2: Convert to fraction form
    3,638,161/7,921,768.50 = 7,921,768.50/x
  3. Step 3: Cross multiply
    3,638,161x = 7,921,768.50 × 7,921,768.50
  4. Step 4: Simplify right side
    3,638,161x = 62,754,416,167,592.25
  5. Step 5: Solve for x
    x = 62,754,416,167,592.25/3,638,161
  6. Step 6: Final answer
    x = 17,248,938.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.