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Finding the Third Proportional to 257,158,452 and 388,129,170

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Solution

The third proportional to 257,158,452 and 388,129,170 is: 585,803,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158,452 : 388,129,170 = 388,129,170 : x
  2. Step 2: Convert to fraction form
    257,158,452/388,129,170 = 388,129,170/x
  3. Step 3: Cross multiply
    257,158,452x = 388,129,170 × 388,129,170
  4. Step 4: Simplify right side
    257,158,452x = 150,644,252,604,888,896
  5. Step 5: Solve for x
    x = 150,644,252,604,888,896/257,158,452
  6. Step 6: Final answer
    x = 585,803,233.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.