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Finding the Third Proportional to 6,120,984 and 13,405,448

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Solution

The third proportional to 6,120,984 and 13,405,448 is: 29,359,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120,984 : 13,405,448 = 13,405,448 : x
  2. Step 2: Convert to fraction form
    6,120,984/13,405,448 = 13,405,448/x
  3. Step 3: Cross multiply
    6,120,984x = 13,405,448 × 13,405,448
  4. Step 4: Simplify right side
    6,120,984x = 179,706,036,080,704
  5. Step 5: Solve for x
    x = 179,706,036,080,704/6,120,984
  6. Step 6: Final answer
    x = 29,359,010.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.