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Finding the Third Proportional to 20,864,937 and 31,916,993.25

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Solution

The third proportional to 20,864,937 and 31,916,993.25 is: 48,823,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864,937 : 31,916,993.25 = 31,916,993.25 : x
  2. Step 2: Convert to fraction form
    20,864,937/31,916,993.25 = 31,916,993.25/x
  3. Step 3: Cross multiply
    20,864,937x = 31,916,993.25 × 31,916,993.25
  4. Step 4: Simplify right side
    20,864,937x = 1,018,694,458,120,545.50
  5. Step 5: Solve for x
    x = 1,018,694,458,120,545.50/20,864,937
  6. Step 6: Final answer
    x = 48,823,270.26

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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.