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Finding the Third Proportional to 20,138,826 and 29,830,639.50

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Solution

The third proportional to 20,138,826 and 29,830,639.50 is: 44,186,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138,826 : 29,830,639.50 = 29,830,639.50 : x
  2. Step 2: Convert to fraction form
    20,138,826/29,830,639.50 = 29,830,639.50/x
  3. Step 3: Cross multiply
    20,138,826x = 29,830,639.50 × 29,830,639.50
  4. Step 4: Simplify right side
    20,138,826x = 889,867,052,978,960.25
  5. Step 5: Solve for x
    x = 889,867,052,978,960.25/20,138,826
  6. Step 6: Final answer
    x = 44,186,639.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.