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Finding the Third Proportional to 315,415.50 and 700,815

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Solution

The third proportional to 315,415.50 and 700,815 is: 1,557,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,415.50 : 700,815 = 700,815 : x
  2. Step 2: Convert to fraction form
    315,415.50/700,815 = 700,815/x
  3. Step 3: Cross multiply
    315,415.50x = 700,815 × 700,815
  4. Step 4: Simplify right side
    315,415.50x = 491,141,664,225
  5. Step 5: Solve for x
    x = 491,141,664,225/315,415.50
  6. Step 6: Final answer
    x = 1,557,125.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.