Home / 1,032-1,534.50

Finding the Third Proportional to 1,032 and 1,534.50

Calculator

Solution

The third proportional to 1,032 and 1,534.50 is: 2,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032 : 1,534.50 = 1,534.50 : x
  2. Step 2: Convert to fraction form
    1,032/1,534.50 = 1,534.50/x
  3. Step 3: Cross multiply
    1,032x = 1,534.50 × 1,534.50
  4. Step 4: Simplify right side
    1,032x = 2,354,690.25
  5. Step 5: Solve for x
    x = 2,354,690.25/1,032
  6. Step 6: Final answer
    x = 2,281.68

Related Problems

Find third proportional to 516 and 767.25
Half scale
Find third proportional to 2,064 and 3,069
Double scale
Find third proportional to 1,034 and 1,537
Similar ratio
Find third proportional to 1,548 and 2,301.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.