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Finding the Third Proportional to 117,954,418.50 and 256,617,780.75

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Solution

The third proportional to 117,954,418.50 and 256,617,780.75 is: 558,289,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,954,418.50 : 256,617,780.75 = 256,617,780.75 : x
  2. Step 2: Convert to fraction form
    117,954,418.50/256,617,780.75 = 256,617,780.75/x
  3. Step 3: Cross multiply
    117,954,418.50x = 256,617,780.75 × 256,617,780.75
  4. Step 4: Simplify right side
    117,954,418.50x = 65,852,685,397,055,072
  5. Step 5: Solve for x
    x = 65,852,685,397,055,072/117,954,418.50
  6. Step 6: Final answer
    x = 558,289,263.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.