Home / 535-846

Finding the Third Proportional to 535 and 846

Calculator

Solution

The third proportional to 535 and 846 is: 1,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 846 = 846 : x
  2. Step 2: Convert to fraction form
    535/846 = 846/x
  3. Step 3: Cross multiply
    535x = 846 × 846
  4. Step 4: Simplify right side
    535x = 715,716
  5. Step 5: Solve for x
    x = 715,716/535
  6. Step 6: Final answer
    x = 1,337.79

Related Problems

Find third proportional to 267.50 and 423
Half scale
Find third proportional to 1,070 and 1,692
Double scale
Find third proportional to 537 and 849
Similar ratio
Find third proportional to 802.50 and 1,269
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.