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Finding the Third Proportional to 30,699,498 and 66,954,888

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Solution

The third proportional to 30,699,498 and 66,954,888 is: 146,027,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699,498 : 66,954,888 = 66,954,888 : x
  2. Step 2: Convert to fraction form
    30,699,498/66,954,888 = 66,954,888/x
  3. Step 3: Cross multiply
    30,699,498x = 66,954,888 × 66,954,888
  4. Step 4: Simplify right side
    30,699,498x = 4,482,957,027,092,544
  5. Step 5: Solve for x
    x = 4,482,957,027,092,544/30,699,498
  6. Step 6: Final answer
    x = 146,027,046.67

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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.