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Finding the Third Proportional to 330,030,122 and 699,400,969

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Solution

The third proportional to 330,030,122 and 699,400,969 is: 1,482,172,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,030,122 : 699,400,969 = 699,400,969 : x
  2. Step 2: Convert to fraction form
    330,030,122/699,400,969 = 699,400,969/x
  3. Step 3: Cross multiply
    330,030,122x = 699,400,969 × 699,400,969
  4. Step 4: Simplify right side
    330,030,122x = 489,161,715,438,138,944
  5. Step 5: Solve for x
    x = 489,161,715,438,138,944/330,030,122
  6. Step 6: Final answer
    x = 1,482,172,937.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.