Home / 472,720-709,416

Finding the Third Proportional to 472,720 and 709,416

Calculator

Solution

The third proportional to 472,720 and 709,416 is: 1,064,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,720 : 709,416 = 709,416 : x
  2. Step 2: Convert to fraction form
    472,720/709,416 = 709,416/x
  3. Step 3: Cross multiply
    472,720x = 709,416 × 709,416
  4. Step 4: Simplify right side
    472,720x = 503,271,061,056
  5. Step 5: Solve for x
    x = 503,271,061,056/472,720
  6. Step 6: Final answer
    x = 1,064,628.24

Related Problems

Find third proportional to 236,360 and 354,708
Half scale
Find third proportional to 945,440 and 1,418,832
Double scale
Find third proportional to 472,722 and 709,419
Similar ratio
Find third proportional to 709,080 and 1,064,124
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.