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Finding the Third Proportional to 7,698,434 and 11,918,958

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Solution

The third proportional to 7,698,434 and 11,918,958 is: 18,453,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698,434 : 11,918,958 = 11,918,958 : x
  2. Step 2: Convert to fraction form
    7,698,434/11,918,958 = 11,918,958/x
  3. Step 3: Cross multiply
    7,698,434x = 11,918,958 × 11,918,958
  4. Step 4: Simplify right side
    7,698,434x = 142,061,559,805,764
  5. Step 5: Solve for x
    x = 142,061,559,805,764/7,698,434
  6. Step 6: Final answer
    x = 18,453,306.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.