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Finding the Third Proportional to 401,914,947 and 870,615,721

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Solution

The third proportional to 401,914,947 and 870,615,721 is: 1,885,900,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,914,947 : 870,615,721 = 870,615,721 : x
  2. Step 2: Convert to fraction form
    401,914,947/870,615,721 = 870,615,721/x
  3. Step 3: Cross multiply
    401,914,947x = 870,615,721 × 870,615,721
  4. Step 4: Simplify right side
    401,914,947x = 757,971,733,652,349,824
  5. Step 5: Solve for x
    x = 757,971,733,652,349,824/401,914,947
  6. Step 6: Final answer
    x = 1,885,900,833.77

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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.