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Finding the Third Proportional to 258,795 and 577,854

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Solution

The third proportional to 258,795 and 577,854 is: 1,290,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,795 : 577,854 = 577,854 : x
  2. Step 2: Convert to fraction form
    258,795/577,854 = 577,854/x
  3. Step 3: Cross multiply
    258,795x = 577,854 × 577,854
  4. Step 4: Simplify right side
    258,795x = 333,915,245,316
  5. Step 5: Solve for x
    x = 333,915,245,316/258,795
  6. Step 6: Final answer
    x = 1,290,269.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.