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Finding the Third Proportional to 72,112,086 and 146,772,657.75

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Solution

The third proportional to 72,112,086 and 146,772,657.75 is: 298,732,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112,086 : 146,772,657.75 = 146,772,657.75 : x
  2. Step 2: Convert to fraction form
    72,112,086/146,772,657.75 = 146,772,657.75/x
  3. Step 3: Cross multiply
    72,112,086x = 146,772,657.75 × 146,772,657.75
  4. Step 4: Simplify right side
    72,112,086x = 21,542,213,062,998,636
  5. Step 5: Solve for x
    x = 21,542,213,062,998,636/72,112,086
  6. Step 6: Final answer
    x = 298,732,352.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.