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Finding the Third Proportional to 379,497 and 815,275.50

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Solution

The third proportional to 379,497 and 815,275.50 is: 1,751,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,497 : 815,275.50 = 815,275.50 : x
  2. Step 2: Convert to fraction form
    379,497/815,275.50 = 815,275.50/x
  3. Step 3: Cross multiply
    379,497x = 815,275.50 × 815,275.50
  4. Step 4: Simplify right side
    379,497x = 664,674,140,900.25
  5. Step 5: Solve for x
    x = 664,674,140,900.25/379,497
  6. Step 6: Final answer
    x = 1,751,460.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.