Home / 470,351-709,901

Finding the Third Proportional to 470,351 and 709,901

Calculator

Solution

The third proportional to 470,351 and 709,901 is: 1,071,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,351 : 709,901 = 709,901 : x
  2. Step 2: Convert to fraction form
    470,351/709,901 = 709,901/x
  3. Step 3: Cross multiply
    470,351x = 709,901 × 709,901
  4. Step 4: Simplify right side
    470,351x = 503,959,429,801
  5. Step 5: Solve for x
    x = 503,959,429,801/470,351
  6. Step 6: Final answer
    x = 1,071,453.94

Related Problems

Find third proportional to 235,175.50 and 354,950.50
Half scale
Find third proportional to 940,702 and 1,419,802
Double scale
Find third proportional to 470,353 and 709,904
Similar ratio
Find third proportional to 705,526.50 and 1,064,851.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.