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Finding the Third Proportional to 914,085 and 1,980,706.50

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Solution

The third proportional to 914,085 and 1,980,706.50 is: 4,291,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,085 : 1,980,706.50 = 1,980,706.50 : x
  2. Step 2: Convert to fraction form
    914,085/1,980,706.50 = 1,980,706.50/x
  3. Step 3: Cross multiply
    914,085x = 1,980,706.50 × 1,980,706.50
  4. Step 4: Simplify right side
    914,085x = 3,923,198,239,142.25
  5. Step 5: Solve for x
    x = 3,923,198,239,142.25/914,085
  6. Step 6: Final answer
    x = 4,291,940.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.