Home / 997.50-1,647

Finding the Third Proportional to 997.50 and 1,647

Calculator

Solution

The third proportional to 997.50 and 1,647 is: 2,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,647 = 1,647 : x
  2. Step 2: Convert to fraction form
    997.50/1,647 = 1,647/x
  3. Step 3: Cross multiply
    997.50x = 1,647 × 1,647
  4. Step 4: Simplify right side
    997.50x = 2,712,609
  5. Step 5: Solve for x
    x = 2,712,609/997.50
  6. Step 6: Final answer
    x = 2,719.41

Related Problems

Find third proportional to 498.75 and 823.50
Half scale
Find third proportional to 1,995 and 3,294
Double scale
Find third proportional to 1,000 and 1,650
Similar ratio
Find third proportional to 1,496.25 and 2,470.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.