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Finding the Third Proportional to 830,418.75 and 1,355,987.25

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Solution

The third proportional to 830,418.75 and 1,355,987.25 is: 2,214,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,418.75 : 1,355,987.25 = 1,355,987.25 : x
  2. Step 2: Convert to fraction form
    830,418.75/1,355,987.25 = 1,355,987.25/x
  3. Step 3: Cross multiply
    830,418.75x = 1,355,987.25 × 1,355,987.25
  4. Step 4: Simplify right side
    830,418.75x = 1,838,701,422,162.56
  5. Step 5: Solve for x
    x = 1,838,701,422,162.56/830,418.75
  6. Step 6: Final answer
    x = 2,214,185.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.