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Finding the Third Proportional to 427,396.50 and 911,995.88

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Solution

The third proportional to 427,396.50 and 911,995.88 is: 1,946,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,396.50 : 911,995.88 = 911,995.88 : x
  2. Step 2: Convert to fraction form
    427,396.50/911,995.88 = 911,995.88/x
  3. Step 3: Cross multiply
    427,396.50x = 911,995.88 × 911,995.88
  4. Step 4: Simplify right side
    427,396.50x = 831,736,476,017.02
  5. Step 5: Solve for x
    x = 831,736,476,017.02/427,396.50
  6. Step 6: Final answer
    x = 1,946,053.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.