Home / 343-586

Finding the Third Proportional to 343 and 586

Calculator

Solution

The third proportional to 343 and 586 is: 1,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 586 = 586 : x
  2. Step 2: Convert to fraction form
    343/586 = 586/x
  3. Step 3: Cross multiply
    343x = 586 × 586
  4. Step 4: Simplify right side
    343x = 343,396
  5. Step 5: Solve for x
    x = 343,396/343
  6. Step 6: Final answer
    x = 1,001.15

Related Problems

Find third proportional to 171.50 and 293
Half scale
Find third proportional to 686 and 1,172
Double scale
Find third proportional to 345 and 589
Similar ratio
Find third proportional to 514.50 and 879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.