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Finding the Third Proportional to 257,139,368 and 388,027,596

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Solution

The third proportional to 257,139,368 and 388,027,596 is: 585,540,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,139,368 : 388,027,596 = 388,027,596 : x
  2. Step 2: Convert to fraction form
    257,139,368/388,027,596 = 388,027,596/x
  3. Step 3: Cross multiply
    257,139,368x = 388,027,596 × 388,027,596
  4. Step 4: Simplify right side
    257,139,368x = 150,565,415,257,539,200
  5. Step 5: Solve for x
    x = 150,565,415,257,539,200/257,139,368
  6. Step 6: Final answer
    x = 585,540,115.57

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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.