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Finding the Third Proportional to 561,879 and 1,213,538.63

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Solution

The third proportional to 561,879 and 1,213,538.63 is: 2,620,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,879 : 1,213,538.63 = 1,213,538.63 : x
  2. Step 2: Convert to fraction form
    561,879/1,213,538.63 = 1,213,538.63/x
  3. Step 3: Cross multiply
    561,879x = 1,213,538.63 × 1,213,538.63
  4. Step 4: Simplify right side
    561,879x = 1,472,675,994,366.89
  5. Step 5: Solve for x
    x = 1,472,675,994,366.89/561,879
  6. Step 6: Final answer
    x = 2,620,984.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.