Home / 410-537

Finding the Third Proportional to 410 and 537

Calculator

Solution

The third proportional to 410 and 537 is: 703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 537 = 537 : x
  2. Step 2: Convert to fraction form
    410/537 = 537/x
  3. Step 3: Cross multiply
    410x = 537 × 537
  4. Step 4: Simplify right side
    410x = 288,369
  5. Step 5: Solve for x
    x = 288,369/410
  6. Step 6: Final answer
    x = 703.34

Related Problems

Find third proportional to 205 and 268.50
Half scale
Find third proportional to 820 and 1,074
Double scale
Find third proportional to 412 and 540
Similar ratio
Find third proportional to 615 and 805.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.