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Finding the Third Proportional to 118,709,488,129 and 256,014,634,850

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Solution

The third proportional to 118,709,488,129 and 256,014,634,850 is: 552,133,568,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709,488,129 : 256,014,634,850 = 256,014,634,850 : x
  2. Step 2: Convert to fraction form
    118,709,488,129/256,014,634,850 = 256,014,634,850/x
  3. Step 3: Cross multiply
    118,709,488,129x = 256,014,634,850 × 256,014,634,850
  4. Step 4: Simplify right side
    118,709,488,129x = 65,543,493,257,378,834,415,616
  5. Step 5: Solve for x
    x = 65,543,493,257,378,834,415,616/118,709,488,129
  6. Step 6: Final answer
    x = 552,133,568,179.10

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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.