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Finding the Third Proportional to 299,353.50 and 354,710.25

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Solution

The third proportional to 299,353.50 and 354,710.25 is: 420,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,353.50 : 354,710.25 = 354,710.25 : x
  2. Step 2: Convert to fraction form
    299,353.50/354,710.25 = 354,710.25/x
  3. Step 3: Cross multiply
    299,353.50x = 354,710.25 × 354,710.25
  4. Step 4: Simplify right side
    299,353.50x = 125,819,361,455.06
  5. Step 5: Solve for x
    x = 125,819,361,455.06/299,353.50
  6. Step 6: Final answer
    x = 420,303.63

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.