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Finding the Third Proportional to 30,821,148 and 66,410,502.75

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Solution

The third proportional to 30,821,148 and 66,410,502.75 is: 143,095,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821,148 : 66,410,502.75 = 66,410,502.75 : x
  2. Step 2: Convert to fraction form
    30,821,148/66,410,502.75 = 66,410,502.75/x
  3. Step 3: Cross multiply
    30,821,148x = 66,410,502.75 × 66,410,502.75
  4. Step 4: Simplify right side
    30,821,148x = 4,410,354,875,507,757.50
  5. Step 5: Solve for x
    x = 4,410,354,875,507,757.50/30,821,148
  6. Step 6: Final answer
    x = 143,095,087.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.