Home / 1,109-1,663.50

Finding the Third Proportional to 1,109 and 1,663.50

Calculator

Solution

The third proportional to 1,109 and 1,663.50 is: 2,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109 : 1,663.50 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    1,109/1,663.50 = 1,663.50/x
  3. Step 3: Cross multiply
    1,109x = 1,663.50 × 1,663.50
  4. Step 4: Simplify right side
    1,109x = 2,767,232.25
  5. Step 5: Solve for x
    x = 2,767,232.25/1,109
  6. Step 6: Final answer
    x = 2,495.25

Related Problems

Find third proportional to 554.50 and 831.75
Half scale
Find third proportional to 2,218 and 3,327
Double scale
Find third proportional to 1,111 and 1,667
Similar ratio
Find third proportional to 1,663.50 and 2,495.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.