Home / 706.50-1,462.13

Finding the Third Proportional to 706.50 and 1,462.13

Calculator

Solution

The third proportional to 706.50 and 1,462.13 is: 3,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,462.13 = 1,462.13 : x
  2. Step 2: Convert to fraction form
    706.50/1,462.13 = 1,462.13/x
  3. Step 3: Cross multiply
    706.50x = 1,462.13 × 1,462.13
  4. Step 4: Simplify right side
    706.50x = 2,137,809.52
  5. Step 5: Solve for x
    x = 2,137,809.52/706.50
  6. Step 6: Final answer
    x = 3,025.92

Related Problems

Find third proportional to 353.25 and 731.06
Half scale
Find third proportional to 1,413 and 2,924.25
Double scale
Find third proportional to 709 and 1,466
Similar ratio
Find third proportional to 1,059.75 and 2,193.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.