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Finding the Third Proportional to 81,207,759,186 and 124,145,721,819

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Solution

The third proportional to 81,207,759,186 and 124,145,721,819 is: 189,786,793,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207,759,186 : 124,145,721,819 = 124,145,721,819 : x
  2. Step 2: Convert to fraction form
    81,207,759,186/124,145,721,819 = 124,145,721,819/x
  3. Step 3: Cross multiply
    81,207,759,186x = 124,145,721,819 × 124,145,721,819
  4. Step 4: Simplify right side
    81,207,759,186x = 15,412,160,245,960,531,771,392
  5. Step 5: Solve for x
    x = 15,412,160,245,960,531,771,392/81,207,759,186
  6. Step 6: Final answer
    x = 189,786,793,779.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.