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Finding the Third Proportional to 306,949.50 and 628,659

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Solution

The third proportional to 306,949.50 and 628,659 is: 1,287,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,949.50 : 628,659 = 628,659 : x
  2. Step 2: Convert to fraction form
    306,949.50/628,659 = 628,659/x
  3. Step 3: Cross multiply
    306,949.50x = 628,659 × 628,659
  4. Step 4: Simplify right side
    306,949.50x = 395,212,138,281
  5. Step 5: Solve for x
    x = 395,212,138,281/306,949.50
  6. Step 6: Final answer
    x = 1,287,547.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.