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Finding the Third Proportional to 287,094 and 628,620

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Solution

The third proportional to 287,094 and 628,620 is: 1,376,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,094 : 628,620 = 628,620 : x
  2. Step 2: Convert to fraction form
    287,094/628,620 = 628,620/x
  3. Step 3: Cross multiply
    287,094x = 628,620 × 628,620
  4. Step 4: Simplify right side
    287,094x = 395,163,104,400
  5. Step 5: Solve for x
    x = 395,163,104,400/287,094
  6. Step 6: Final answer
    x = 1,376,424.11

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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.