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Finding the Third Proportional to 289,254.25 and 628,261.75

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Solution

The third proportional to 289,254.25 and 628,261.75 is: 1,364,587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,254.25 : 628,261.75 = 628,261.75 : x
  2. Step 2: Convert to fraction form
    289,254.25/628,261.75 = 628,261.75/x
  3. Step 3: Cross multiply
    289,254.25x = 628,261.75 × 628,261.75
  4. Step 4: Simplify right side
    289,254.25x = 394,712,826,513.06
  5. Step 5: Solve for x
    x = 394,712,826,513.06/289,254.25
  6. Step 6: Final answer
    x = 1,364,587.82

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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.