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Finding the Third Proportional to 863,191 and 1,306,780

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Solution

The third proportional to 863,191 and 1,306,780 is: 1,978,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,191 : 1,306,780 = 1,306,780 : x
  2. Step 2: Convert to fraction form
    863,191/1,306,780 = 1,306,780/x
  3. Step 3: Cross multiply
    863,191x = 1,306,780 × 1,306,780
  4. Step 4: Simplify right side
    863,191x = 1,707,673,968,400
  5. Step 5: Solve for x
    x = 1,707,673,968,400/863,191
  6. Step 6: Final answer
    x = 1,978,326.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.