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Finding the Third Proportional to 117,889,335,598 and 256,434,102,548

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Solution

The third proportional to 117,889,335,598 and 256,434,102,548 is: 557,798,113,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889,335,598 : 256,434,102,548 = 256,434,102,548 : x
  2. Step 2: Convert to fraction form
    117,889,335,598/256,434,102,548 = 256,434,102,548/x
  3. Step 3: Cross multiply
    117,889,335,598x = 256,434,102,548 × 256,434,102,548
  4. Step 4: Simplify right side
    117,889,335,598x = 65,758,448,949,598,183,489,536
  5. Step 5: Solve for x
    x = 65,758,448,949,598,183,489,536/117,889,335,598
  6. Step 6: Final answer
    x = 557,798,113,086.61

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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.