Home / 1,582-3,716.50

Finding the Third Proportional to 1,582 and 3,716.50

Calculator

Solution

The third proportional to 1,582 and 3,716.50 is: 8,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582 : 3,716.50 = 3,716.50 : x
  2. Step 2: Convert to fraction form
    1,582/3,716.50 = 3,716.50/x
  3. Step 3: Cross multiply
    1,582x = 3,716.50 × 3,716.50
  4. Step 4: Simplify right side
    1,582x = 13,812,372.25
  5. Step 5: Solve for x
    x = 13,812,372.25/1,582
  6. Step 6: Final answer
    x = 8,730.96

Related Problems

Find third proportional to 791 and 1,858.25
Half scale
Find third proportional to 3,164 and 7,433
Double scale
Find third proportional to 1,584 and 3,721
Similar ratio
Find third proportional to 2,373 and 5,574.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.