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Finding the Third Proportional to 316,122.50 and 691,258

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Solution

The third proportional to 316,122.50 and 691,258 is: 1,511,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,122.50 : 691,258 = 691,258 : x
  2. Step 2: Convert to fraction form
    316,122.50/691,258 = 691,258/x
  3. Step 3: Cross multiply
    316,122.50x = 691,258 × 691,258
  4. Step 4: Simplify right side
    316,122.50x = 477,837,622,564
  5. Step 5: Solve for x
    x = 477,837,622,564/316,122.50
  6. Step 6: Final answer
    x = 1,511,558.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.