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Finding the Third Proportional to 815,780 and 1,767,154

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Solution

The third proportional to 815,780 and 1,767,154 is: 3,828,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,780 : 1,767,154 = 1,767,154 : x
  2. Step 2: Convert to fraction form
    815,780/1,767,154 = 1,767,154/x
  3. Step 3: Cross multiply
    815,780x = 1,767,154 × 1,767,154
  4. Step 4: Simplify right side
    815,780x = 3,122,833,259,716
  5. Step 5: Solve for x
    x = 3,122,833,259,716/815,780
  6. Step 6: Final answer
    x = 3,828,033.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.