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Finding the Third Proportional to 38,265,684 and 81,639,986

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Solution

The third proportional to 38,265,684 and 81,639,986 is: 174,179,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265,684 : 81,639,986 = 81,639,986 : x
  2. Step 2: Convert to fraction form
    38,265,684/81,639,986 = 81,639,986/x
  3. Step 3: Cross multiply
    38,265,684x = 81,639,986 × 81,639,986
  4. Step 4: Simplify right side
    38,265,684x = 6,665,087,314,080,196
  5. Step 5: Solve for x
    x = 6,665,087,314,080,196/38,265,684
  6. Step 6: Final answer
    x = 174,179,228.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.