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Finding the Third Proportional to 117,889,338,643 and 256,434,108,379

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Solution

The third proportional to 117,889,338,643 and 256,434,108,379 is: 557,798,124,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889,338,643 : 256,434,108,379 = 256,434,108,379 : x
  2. Step 2: Convert to fraction form
    117,889,338,643/256,434,108,379 = 256,434,108,379/x
  3. Step 3: Cross multiply
    117,889,338,643x = 256,434,108,379 × 256,434,108,379
  4. Step 4: Simplify right side
    117,889,338,643x = 65,758,451,940,132,716,019,712
  5. Step 5: Solve for x
    x = 65,758,451,940,132,716,019,712/117,889,338,643
  6. Step 6: Final answer
    x = 557,798,124,046.37

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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.