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Finding the Third Proportional to 388,770,994 and 856,785,900

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Solution

The third proportional to 388,770,994 and 856,785,900 is: 1,888,212,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,770,994 : 856,785,900 = 856,785,900 : x
  2. Step 2: Convert to fraction form
    388,770,994/856,785,900 = 856,785,900/x
  3. Step 3: Cross multiply
    388,770,994x = 856,785,900 × 856,785,900
  4. Step 4: Simplify right side
    388,770,994x = 734,082,078,438,809,984
  5. Step 5: Solve for x
    x = 734,082,078,438,809,984/388,770,994
  6. Step 6: Final answer
    x = 1,888,212,057.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.