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Finding the Third Proportional to 501,647 and 777,071

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Solution

The third proportional to 501,647 and 777,071 is: 1,203,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,647 : 777,071 = 777,071 : x
  2. Step 2: Convert to fraction form
    501,647/777,071 = 777,071/x
  3. Step 3: Cross multiply
    501,647x = 777,071 × 777,071
  4. Step 4: Simplify right side
    501,647x = 603,839,339,041
  5. Step 5: Solve for x
    x = 603,839,339,041/501,647
  6. Step 6: Final answer
    x = 1,203,713.65

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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.