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Finding the Third Proportional to 146,218,259 and 321,135,979

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Solution

The third proportional to 146,218,259 and 321,135,979 is: 705,303,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,259 : 321,135,979 = 321,135,979 : x
  2. Step 2: Convert to fraction form
    146,218,259/321,135,979 = 321,135,979/x
  3. Step 3: Cross multiply
    146,218,259x = 321,135,979 × 321,135,979
  4. Step 4: Simplify right side
    146,218,259x = 103,128,317,008,288,448
  5. Step 5: Solve for x
    x = 103,128,317,008,288,448/146,218,259
  6. Step 6: Final answer
    x = 705,303,959.39

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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.