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Finding the Third Proportional to 168,271,566 and 258,485,727.75

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Solution

The third proportional to 168,271,566 and 258,485,727.75 is: 397,065,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,566 : 258,485,727.75 = 258,485,727.75 : x
  2. Step 2: Convert to fraction form
    168,271,566/258,485,727.75 = 258,485,727.75/x
  3. Step 3: Cross multiply
    168,271,566x = 258,485,727.75 × 258,485,727.75
  4. Step 4: Simplify right side
    168,271,566x = 66,814,871,450,447,120
  5. Step 5: Solve for x
    x = 66,814,871,450,447,120/168,271,566
  6. Step 6: Final answer
    x = 397,065,725.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.