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Finding the Third Proportional to 82,839,346 and 123,540,644

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Solution

The third proportional to 82,839,346 and 123,540,644 is: 184,239,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839,346 : 123,540,644 = 123,540,644 : x
  2. Step 2: Convert to fraction form
    82,839,346/123,540,644 = 123,540,644/x
  3. Step 3: Cross multiply
    82,839,346x = 123,540,644 × 123,540,644
  4. Step 4: Simplify right side
    82,839,346x = 15,262,290,719,934,736
  5. Step 5: Solve for x
    x = 15,262,290,719,934,736/82,839,346
  6. Step 6: Final answer
    x = 184,239,633.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.