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Finding the Third Proportional to 289,272 and 628,300

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Solution

The third proportional to 289,272 and 628,300 is: 1,364,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,272 : 628,300 = 628,300 : x
  2. Step 2: Convert to fraction form
    289,272/628,300 = 628,300/x
  3. Step 3: Cross multiply
    289,272x = 628,300 × 628,300
  4. Step 4: Simplify right side
    289,272x = 394,760,890,000
  5. Step 5: Solve for x
    x = 394,760,890,000/289,272
  6. Step 6: Final answer
    x = 1,364,670.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.