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Finding the Third Proportional to 301,705.13 and 628,438.50

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Solution

The third proportional to 301,705.13 and 628,438.50 is: 1,309,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.13 : 628,438.50 = 628,438.50 : x
  2. Step 2: Convert to fraction form
    301,705.13/628,438.50 = 628,438.50/x
  3. Step 3: Cross multiply
    301,705.13x = 628,438.50 × 628,438.50
  4. Step 4: Simplify right side
    301,705.13x = 394,934,948,282.25
  5. Step 5: Solve for x
    x = 394,934,948,282.25/301,705.13
  6. Step 6: Final answer
    x = 1,309,009.74

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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.