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Finding the Third Proportional to 830,742 and 1,290,177

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Solution

The third proportional to 830,742 and 1,290,177 is: 2,003,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,742 : 1,290,177 = 1,290,177 : x
  2. Step 2: Convert to fraction form
    830,742/1,290,177 = 1,290,177/x
  3. Step 3: Cross multiply
    830,742x = 1,290,177 × 1,290,177
  4. Step 4: Simplify right side
    830,742x = 1,664,556,691,329
  5. Step 5: Solve for x
    x = 1,664,556,691,329/830,742
  6. Step 6: Final answer
    x = 2,003,698.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.