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Finding the Third Proportional to 118,709,488,118 and 256,014,634,828

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Solution

The third proportional to 118,709,488,118 and 256,014,634,828 is: 552,133,568,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709,488,118 : 256,014,634,828 = 256,014,634,828 : x
  2. Step 2: Convert to fraction form
    118,709,488,118/256,014,634,828 = 256,014,634,828/x
  3. Step 3: Cross multiply
    118,709,488,118x = 256,014,634,828 × 256,014,634,828
  4. Step 4: Simplify right side
    118,709,488,118x = 65,543,493,246,114,192,162,816
  5. Step 5: Solve for x
    x = 65,543,493,246,114,192,162,816/118,709,488,118
  6. Step 6: Final answer
    x = 552,133,568,135.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.