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Finding the Third Proportional to 306,669.80 and 628,642.90

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Solution

The third proportional to 306,669.80 and 628,642.90 is: 1,288,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,669.80 : 628,642.90 = 628,642.90 : x
  2. Step 2: Convert to fraction form
    306,669.80/628,642.90 = 628,642.90/x
  3. Step 3: Cross multiply
    306,669.80x = 628,642.90 × 628,642.90
  4. Step 4: Simplify right side
    306,669.80x = 395,191,893,755.90
  5. Step 5: Solve for x
    x = 395,191,893,755.90/306,669.80
  6. Step 6: Final answer
    x = 1,288,656.07

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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.