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Finding the Third Proportional to 168,271,380 and 258,485,436

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Solution

The third proportional to 168,271,380 and 258,485,436 is: 397,065,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,380 : 258,485,436 = 258,485,436 : x
  2. Step 2: Convert to fraction form
    168,271,380/258,485,436 = 258,485,436/x
  3. Step 3: Cross multiply
    168,271,380x = 258,485,436 × 258,485,436
  4. Step 4: Simplify right side
    168,271,380x = 66,814,720,624,110,096
  5. Step 5: Solve for x
    x = 66,814,720,624,110,096/168,271,380
  6. Step 6: Final answer
    x = 397,065,268.16

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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.