Home / 534-906

Finding the Third Proportional to 534 and 906

Calculator

Solution

The third proportional to 534 and 906 is: 1,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534 : 906 = 906 : x
  2. Step 2: Convert to fraction form
    534/906 = 906/x
  3. Step 3: Cross multiply
    534x = 906 × 906
  4. Step 4: Simplify right side
    534x = 820,836
  5. Step 5: Solve for x
    x = 820,836/534
  6. Step 6: Final answer
    x = 1,537.15

Related Problems

Find third proportional to 267 and 453
Half scale
Find third proportional to 1,068 and 1,812
Double scale
Find third proportional to 536 and 909
Similar ratio
Find third proportional to 801 and 1,359
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.