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Finding the Third Proportional to 401,957,400 and 870,691,632

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Solution

The third proportional to 401,957,400 and 870,691,632 is: 1,886,030,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,957,400 : 870,691,632 = 870,691,632 : x
  2. Step 2: Convert to fraction form
    401,957,400/870,691,632 = 870,691,632/x
  3. Step 3: Cross multiply
    401,957,400x = 870,691,632 × 870,691,632
  4. Step 4: Simplify right side
    401,957,400x = 758,103,918,034,823,424
  5. Step 5: Solve for x
    x = 758,103,918,034,823,424/401,957,400
  6. Step 6: Final answer
    x = 1,886,030,504.81

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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.