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Finding the Third Proportional to 117,639,774 and 177,972,664

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Solution

The third proportional to 117,639,774 and 177,972,664 is: 269,247,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639,774 : 177,972,664 = 177,972,664 : x
  2. Step 2: Convert to fraction form
    117,639,774/177,972,664 = 177,972,664/x
  3. Step 3: Cross multiply
    117,639,774x = 177,972,664 × 177,972,664
  4. Step 4: Simplify right side
    117,639,774x = 31,674,269,131,256,896
  5. Step 5: Solve for x
    x = 31,674,269,131,256,896/117,639,774
  6. Step 6: Final answer
    x = 269,247,959.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.