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Finding the Third Proportional to 401,715,953.72 and 870,469,119.84

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Solution

The third proportional to 401,715,953.72 and 870,469,119.84 is: 1,886,199,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715,953.72 : 870,469,119.84 = 870,469,119.84 : x
  2. Step 2: Convert to fraction form
    401,715,953.72/870,469,119.84 = 870,469,119.84/x
  3. Step 3: Cross multiply
    401,715,953.72x = 870,469,119.84 × 870,469,119.84
  4. Step 4: Simplify right side
    401,715,953.72x = 757,716,488,601,552,768
  5. Step 5: Solve for x
    x = 757,716,488,601,552,768/401,715,953.72
  6. Step 6: Final answer
    x = 1,886,199,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.