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Finding the Third Proportional to 287,122 and 670,629

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Solution

The third proportional to 287,122 and 670,629 is: 1,566,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,122 : 670,629 = 670,629 : x
  2. Step 2: Convert to fraction form
    287,122/670,629 = 670,629/x
  3. Step 3: Cross multiply
    287,122x = 670,629 × 670,629
  4. Step 4: Simplify right side
    287,122x = 449,743,255,641
  5. Step 5: Solve for x
    x = 449,743,255,641/287,122
  6. Step 6: Final answer
    x = 1,566,383.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.