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Finding the Third Proportional to 297,219.38 and 642,917.25

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Solution

The third proportional to 297,219.38 and 642,917.25 is: 1,390,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,219.38 : 642,917.25 = 642,917.25 : x
  2. Step 2: Convert to fraction form
    297,219.38/642,917.25 = 642,917.25/x
  3. Step 3: Cross multiply
    297,219.38x = 642,917.25 × 642,917.25
  4. Step 4: Simplify right side
    297,219.38x = 413,342,590,347.56
  5. Step 5: Solve for x
    x = 413,342,590,347.56/297,219.38
  6. Step 6: Final answer
    x = 1,390,698.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.