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Finding the Third Proportional to 287,368 and 628,240

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Solution

The third proportional to 287,368 and 628,240 is: 1,373,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,368 : 628,240 = 628,240 : x
  2. Step 2: Convert to fraction form
    287,368/628,240 = 628,240/x
  3. Step 3: Cross multiply
    287,368x = 628,240 × 628,240
  4. Step 4: Simplify right side
    287,368x = 394,685,497,600
  5. Step 5: Solve for x
    x = 394,685,497,600/287,368
  6. Step 6: Final answer
    x = 1,373,449.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.