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Finding the Third Proportional to 20,900,115 and 31,665,100.50

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Solution

The third proportional to 20,900,115 and 31,665,100.50 is: 47,974,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900,115 : 31,665,100.50 = 31,665,100.50 : x
  2. Step 2: Convert to fraction form
    20,900,115/31,665,100.50 = 31,665,100.50/x
  3. Step 3: Cross multiply
    20,900,115x = 31,665,100.50 × 31,665,100.50
  4. Step 4: Simplify right side
    20,900,115x = 1,002,678,589,675,100.25
  5. Step 5: Solve for x
    x = 1,002,678,589,675,100.25/20,900,115
  6. Step 6: Final answer
    x = 47,974,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.