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Finding the Third Proportional to 21,811,864 and 47,258,842

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Solution

The third proportional to 21,811,864 and 47,258,842 is: 102,393,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811,864 : 47,258,842 = 47,258,842 : x
  2. Step 2: Convert to fraction form
    21,811,864/47,258,842 = 47,258,842/x
  3. Step 3: Cross multiply
    21,811,864x = 47,258,842 × 47,258,842
  4. Step 4: Simplify right side
    21,811,864x = 2,233,398,147,180,964
  5. Step 5: Solve for x
    x = 2,233,398,147,180,964/21,811,864
  6. Step 6: Final answer
    x = 102,393,731.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.