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Finding the Third Proportional to 118,709,488,131 and 256,014,634,854

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Solution

The third proportional to 118,709,488,131 and 256,014,634,854 is: 552,133,568,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709,488,131 : 256,014,634,854 = 256,014,634,854 : x
  2. Step 2: Convert to fraction form
    118,709,488,131/256,014,634,854 = 256,014,634,854/x
  3. Step 3: Cross multiply
    118,709,488,131x = 256,014,634,854 × 256,014,634,854
  4. Step 4: Simplify right side
    118,709,488,131x = 65,543,493,259,426,955,001,856
  5. Step 5: Solve for x
    x = 65,543,493,259,426,955,001,856/118,709,488,131
  6. Step 6: Final answer
    x = 552,133,568,187.05

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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.