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Finding the Third Proportional to 257,139,372 and 388,027,602

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Solution

The third proportional to 257,139,372 and 388,027,602 is: 585,540,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139,372 : 388,027,602 = 388,027,602 : x
  2. Step 2: Convert to fraction form
    257,139,372/388,027,602 = 388,027,602/x
  3. Step 3: Cross multiply
    257,139,372x = 388,027,602 × 388,027,602
  4. Step 4: Simplify right side
    257,139,372x = 150,565,419,913,870,400
  5. Step 5: Solve for x
    x = 150,565,419,913,870,400/257,139,372
  6. Step 6: Final answer
    x = 585,540,124.57

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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.