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Finding the Third Proportional to 102,233,040 and 220,055,016

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Solution

The third proportional to 102,233,040 and 220,055,016 is: 473,664,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,233,040 : 220,055,016 = 220,055,016 : x
  2. Step 2: Convert to fraction form
    102,233,040/220,055,016 = 220,055,016/x
  3. Step 3: Cross multiply
    102,233,040x = 220,055,016 × 220,055,016
  4. Step 4: Simplify right side
    102,233,040x = 48,424,210,066,760,256
  5. Step 5: Solve for x
    x = 48,424,210,066,760,256/102,233,040
  6. Step 6: Final answer
    x = 473,664,972.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.