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Finding the Third Proportional to 215,419.50 and 301,862.95

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Solution

The third proportional to 215,419.50 and 301,862.95 is: 422,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,419.50 : 301,862.95 = 301,862.95 : x
  2. Step 2: Convert to fraction form
    215,419.50/301,862.95 = 301,862.95/x
  3. Step 3: Cross multiply
    215,419.50x = 301,862.95 × 301,862.95
  4. Step 4: Simplify right side
    215,419.50x = 91,121,242,469.35
  5. Step 5: Solve for x
    x = 91,121,242,469.35/215,419.50
  6. Step 6: Final answer
    x = 422,994.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.