Home / 1,462-2,313.50

Finding the Third Proportional to 1,462 and 2,313.50

Calculator

Solution

The third proportional to 1,462 and 2,313.50 is: 3,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462 : 2,313.50 = 2,313.50 : x
  2. Step 2: Convert to fraction form
    1,462/2,313.50 = 2,313.50/x
  3. Step 3: Cross multiply
    1,462x = 2,313.50 × 2,313.50
  4. Step 4: Simplify right side
    1,462x = 5,352,282.25
  5. Step 5: Solve for x
    x = 5,352,282.25/1,462
  6. Step 6: Final answer
    x = 3,660.93

Related Problems

Find third proportional to 731 and 1,156.75
Half scale
Find third proportional to 2,924 and 4,627
Double scale
Find third proportional to 1,464 and 2,317
Similar ratio
Find third proportional to 2,193 and 3,470.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.