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Finding the Third Proportional to 21,839,772 and 47,972,988

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Solution

The third proportional to 21,839,772 and 47,972,988 is: 105,376,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839,772 : 47,972,988 = 47,972,988 : x
  2. Step 2: Convert to fraction form
    21,839,772/47,972,988 = 47,972,988/x
  3. Step 3: Cross multiply
    21,839,772x = 47,972,988 × 47,972,988
  4. Step 4: Simplify right side
    21,839,772x = 2,301,407,577,648,144
  5. Step 5: Solve for x
    x = 2,301,407,577,648,144/21,839,772
  6. Step 6: Final answer
    x = 105,376,904.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.