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Finding the Third Proportional to 77,097,326 and 105,721,286

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Solution

The third proportional to 77,097,326 and 105,721,286 is: 144,972,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097,326 : 105,721,286 = 105,721,286 : x
  2. Step 2: Convert to fraction form
    77,097,326/105,721,286 = 105,721,286/x
  3. Step 3: Cross multiply
    77,097,326x = 105,721,286 × 105,721,286
  4. Step 4: Simplify right side
    77,097,326x = 11,176,990,313,493,796
  5. Step 5: Solve for x
    x = 11,176,990,313,493,796/77,097,326
  6. Step 6: Final answer
    x = 144,972,476.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.