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Finding the Third Proportional to 147,698,078 and 321,403,958

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Solution

The third proportional to 147,698,078 and 321,403,958 is: 699,403,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,698,078 : 321,403,958 = 321,403,958 : x
  2. Step 2: Convert to fraction form
    147,698,078/321,403,958 = 321,403,958/x
  3. Step 3: Cross multiply
    147,698,078x = 321,403,958 × 321,403,958
  4. Step 4: Simplify right side
    147,698,078x = 103,300,504,218,065,760
  5. Step 5: Solve for x
    x = 103,300,504,218,065,760/147,698,078
  6. Step 6: Final answer
    x = 699,403,171.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.