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Finding the Third Proportional to 250,788 and 388,755

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Solution

The third proportional to 250,788 and 388,755 is: 602,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,788 : 388,755 = 388,755 : x
  2. Step 2: Convert to fraction form
    250,788/388,755 = 388,755/x
  3. Step 3: Cross multiply
    250,788x = 388,755 × 388,755
  4. Step 4: Simplify right side
    250,788x = 151,130,450,025
  5. Step 5: Solve for x
    x = 151,130,450,025/250,788
  6. Step 6: Final answer
    x = 602,622.33

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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.