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Finding the Third Proportional to 301,854 and 628,710

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Solution

The third proportional to 301,854 and 628,710 is: 1,309,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854 : 628,710 = 628,710 : x
  2. Step 2: Convert to fraction form
    301,854/628,710 = 628,710/x
  3. Step 3: Cross multiply
    301,854x = 628,710 × 628,710
  4. Step 4: Simplify right side
    301,854x = 395,276,264,100
  5. Step 5: Solve for x
    x = 395,276,264,100/301,854
  6. Step 6: Final answer
    x = 1,309,494.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.