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Finding the Third Proportional to 56,975,858,208 and 121,320,677,320

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Solution

The third proportional to 56,975,858,208 and 121,320,677,320 is: 258,332,339,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,975,858,208 : 121,320,677,320 = 121,320,677,320 : x
  2. Step 2: Convert to fraction form
    56,975,858,208/121,320,677,320 = 121,320,677,320/x
  3. Step 3: Cross multiply
    56,975,858,208x = 121,320,677,320 × 121,320,677,320
  4. Step 4: Simplify right side
    56,975,858,208x = 14,718,706,745,383,562,772,480
  5. Step 5: Solve for x
    x = 14,718,706,745,383,562,772,480/56,975,858,208
  6. Step 6: Final answer
    x = 258,332,339,491.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.