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Finding the Third Proportional to 117,889,335,636 and 256,434,102,624

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Solution

The third proportional to 117,889,335,636 and 256,434,102,624 is: 557,798,113,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889,335,636 : 256,434,102,624 = 256,434,102,624 : x
  2. Step 2: Convert to fraction form
    117,889,335,636/256,434,102,624 = 256,434,102,624/x
  3. Step 3: Cross multiply
    117,889,335,636x = 256,434,102,624 × 256,434,102,624
  4. Step 4: Simplify right side
    117,889,335,636x = 65,758,448,988,576,160,940,032
  5. Step 5: Solve for x
    x = 65,758,448,988,576,160,940,032/117,889,335,636
  6. Step 6: Final answer
    x = 557,798,113,237.44

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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.