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Finding the Third Proportional to 138,629,818 and 198,226,929

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Solution

The third proportional to 138,629,818 and 198,226,929 is: 283,444,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,629,818 : 198,226,929 = 198,226,929 : x
  2. Step 2: Convert to fraction form
    138,629,818/198,226,929 = 198,226,929/x
  3. Step 3: Cross multiply
    138,629,818x = 198,226,929 × 198,226,929
  4. Step 4: Simplify right side
    138,629,818x = 39,293,915,380,771,040
  5. Step 5: Solve for x
    x = 39,293,915,380,771,040/138,629,818
  6. Step 6: Final answer
    x = 283,444,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.