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Finding the Third Proportional to 6,389,698 and 13,899,140

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Solution

The third proportional to 6,389,698 and 13,899,140 is: 30,233,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,698 : 13,899,140 = 13,899,140 : x
  2. Step 2: Convert to fraction form
    6,389,698/13,899,140 = 13,899,140/x
  3. Step 3: Cross multiply
    6,389,698x = 13,899,140 × 13,899,140
  4. Step 4: Simplify right side
    6,389,698x = 193,186,092,739,600
  5. Step 5: Solve for x
    x = 193,186,092,739,600/6,389,698
  6. Step 6: Final answer
    x = 30,233,994.27

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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.