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Finding the Third Proportional to 257,385 and 388,101

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Solution

The third proportional to 257,385 and 388,101 is: 585,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,385 : 388,101 = 388,101 : x
  2. Step 2: Convert to fraction form
    257,385/388,101 = 388,101/x
  3. Step 3: Cross multiply
    257,385x = 388,101 × 388,101
  4. Step 4: Simplify right side
    257,385x = 150,622,386,201
  5. Step 5: Solve for x
    x = 150,622,386,201/257,385
  6. Step 6: Final answer
    x = 585,202.66

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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.