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Finding the Third Proportional to 402,498,202.36 and 869,621,707.97

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Solution

The third proportional to 402,498,202.36 and 869,621,707.97 is: 1,878,870,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,498,202.36 : 869,621,707.97 = 869,621,707.97 : x
  2. Step 2: Convert to fraction form
    402,498,202.36/869,621,707.97 = 869,621,707.97/x
  3. Step 3: Cross multiply
    402,498,202.36x = 869,621,707.97 × 869,621,707.97
  4. Step 4: Simplify right side
    402,498,202.36x = 756,241,914,970,485,888
  5. Step 5: Solve for x
    x = 756,241,914,970,485,888/402,498,202.36
  6. Step 6: Final answer
    x = 1,878,870,291.94

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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.