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Finding the Third Proportional to 647,144 and 979,765

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Solution

The third proportional to 647,144 and 979,765 is: 1,483,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,144 : 979,765 = 979,765 : x
  2. Step 2: Convert to fraction form
    647,144/979,765 = 979,765/x
  3. Step 3: Cross multiply
    647,144x = 979,765 × 979,765
  4. Step 4: Simplify right side
    647,144x = 959,939,455,225
  5. Step 5: Solve for x
    x = 959,939,455,225/647,144
  6. Step 6: Final answer
    x = 1,483,347.53

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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.