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Finding the Third Proportional to 815,510 and 1,705,378

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Solution

The third proportional to 815,510 and 1,705,378 is: 3,566,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,510 : 1,705,378 = 1,705,378 : x
  2. Step 2: Convert to fraction form
    815,510/1,705,378 = 1,705,378/x
  3. Step 3: Cross multiply
    815,510x = 1,705,378 × 1,705,378
  4. Step 4: Simplify right side
    815,510x = 2,908,314,122,884
  5. Step 5: Solve for x
    x = 2,908,314,122,884/815,510
  6. Step 6: Final answer
    x = 3,566,251.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.