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Finding the Third Proportional to 250,784 and 388,751

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Solution

The third proportional to 250,784 and 388,751 is: 602,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,784 : 388,751 = 388,751 : x
  2. Step 2: Convert to fraction form
    250,784/388,751 = 388,751/x
  3. Step 3: Cross multiply
    250,784x = 388,751 × 388,751
  4. Step 4: Simplify right side
    250,784x = 151,127,340,001
  5. Step 5: Solve for x
    x = 151,127,340,001/250,784
  6. Step 6: Final answer
    x = 602,619.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.