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Finding the Third Proportional to 647,140 and 979,759

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Solution

The third proportional to 647,140 and 979,759 is: 1,483,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,140 : 979,759 = 979,759 : x
  2. Step 2: Convert to fraction form
    647,140/979,759 = 979,759/x
  3. Step 3: Cross multiply
    647,140x = 979,759 × 979,759
  4. Step 4: Simplify right side
    647,140x = 959,927,698,081
  5. Step 5: Solve for x
    x = 959,927,698,081/647,140
  6. Step 6: Final answer
    x = 1,483,338.53

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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.