Home / 474-709

Finding the Third Proportional to 474 and 709

Calculator

Solution

The third proportional to 474 and 709 is: 1,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 709 = 709 : x
  2. Step 2: Convert to fraction form
    474/709 = 709/x
  3. Step 3: Cross multiply
    474x = 709 × 709
  4. Step 4: Simplify right side
    474x = 502,681
  5. Step 5: Solve for x
    x = 502,681/474
  6. Step 6: Final answer
    x = 1,060.51

Related Problems

Find third proportional to 237 and 354.50
Half scale
Find third proportional to 948 and 1,418
Double scale
Find third proportional to 476 and 712
Similar ratio
Find third proportional to 711 and 1,063.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.