Home / 341-709

Finding the Third Proportional to 341 and 709

Calculator

Solution

The third proportional to 341 and 709 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 709 = 709 : x
  2. Step 2: Convert to fraction form
    341/709 = 709/x
  3. Step 3: Cross multiply
    341x = 709 × 709
  4. Step 4: Simplify right side
    341x = 502,681
  5. Step 5: Solve for x
    x = 502,681/341
  6. Step 6: Final answer
    x = 1,474.14

Related Problems

Find third proportional to 170.50 and 354.50
Half scale
Find third proportional to 682 and 1,418
Double scale
Find third proportional to 343 and 713
Similar ratio
Find third proportional to 511.50 and 1,063.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.