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Finding the Third Proportional to 287,396,586 and 450,321,768

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Solution

The third proportional to 287,396,586 and 450,321,768 is: 705,609,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,396,586 : 450,321,768 = 450,321,768 : x
  2. Step 2: Convert to fraction form
    287,396,586/450,321,768 = 450,321,768/x
  3. Step 3: Cross multiply
    287,396,586x = 450,321,768 × 450,321,768
  4. Step 4: Simplify right side
    287,396,586x = 202,789,694,734,645,824
  5. Step 5: Solve for x
    x = 202,789,694,734,645,824/287,396,586
  6. Step 6: Final answer
    x = 705,609,268.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.