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Finding the Third Proportional to 128,310,718,458 and 267,180,870,171

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Solution

The third proportional to 128,310,718,458 and 267,180,870,171 is: 556,349,603,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,310,718,458 : 267,180,870,171 = 267,180,870,171 : x
  2. Step 2: Convert to fraction form
    128,310,718,458/267,180,870,171 = 267,180,870,171/x
  3. Step 3: Cross multiply
    128,310,718,458x = 267,180,870,171 × 267,180,870,171
  4. Step 4: Simplify right side
    128,310,718,458x = 71,385,617,385,332,760,641,536
  5. Step 5: Solve for x
    x = 71,385,617,385,332,760,641,536/128,310,718,458
  6. Step 6: Final answer
    x = 556,349,603,861.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.