Home / 1,710-3,730.50

Finding the Third Proportional to 1,710 and 3,730.50

Calculator

Solution

The third proportional to 1,710 and 3,730.50 is: 8,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710 : 3,730.50 = 3,730.50 : x
  2. Step 2: Convert to fraction form
    1,710/3,730.50 = 3,730.50/x
  3. Step 3: Cross multiply
    1,710x = 3,730.50 × 3,730.50
  4. Step 4: Simplify right side
    1,710x = 13,916,630.25
  5. Step 5: Solve for x
    x = 13,916,630.25/1,710
  6. Step 6: Final answer
    x = 8,138.38

Related Problems

Find third proportional to 855 and 1,865.25
Half scale
Find third proportional to 3,420 and 7,461
Double scale
Find third proportional to 1,712 and 3,735
Similar ratio
Find third proportional to 2,565 and 5,595.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.