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Finding the Third Proportional to 429,954.75 and 911,162.25

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Solution

The third proportional to 429,954.75 and 911,162.25 is: 1,930,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,954.75 : 911,162.25 = 911,162.25 : x
  2. Step 2: Convert to fraction form
    429,954.75/911,162.25 = 911,162.25/x
  3. Step 3: Cross multiply
    429,954.75x = 911,162.25 × 911,162.25
  4. Step 4: Simplify right side
    429,954.75x = 830,216,645,825.06
  5. Step 5: Solve for x
    x = 830,216,645,825.06/429,954.75
  6. Step 6: Final answer
    x = 1,930,939.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.