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Finding the Third Proportional to 121,330,397 and 259,666,906

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Solution

The third proportional to 121,330,397 and 259,666,906 is: 555,729,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,330,397 : 259,666,906 = 259,666,906 : x
  2. Step 2: Convert to fraction form
    121,330,397/259,666,906 = 259,666,906/x
  3. Step 3: Cross multiply
    121,330,397x = 259,666,906 × 259,666,906
  4. Step 4: Simplify right side
    121,330,397x = 67,426,902,071,612,832
  5. Step 5: Solve for x
    x = 67,426,902,071,612,832/121,330,397
  6. Step 6: Final answer
    x = 555,729,674.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.