Home / 434,223-689,223

Finding the Third Proportional to 434,223 and 689,223

Calculator

Solution

The third proportional to 434,223 and 689,223 is: 1,093,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,223 : 689,223 = 689,223 : x
  2. Step 2: Convert to fraction form
    434,223/689,223 = 689,223/x
  3. Step 3: Cross multiply
    434,223x = 689,223 × 689,223
  4. Step 4: Simplify right side
    434,223x = 475,028,343,729
  5. Step 5: Solve for x
    x = 475,028,343,729/434,223
  6. Step 6: Final answer
    x = 1,093,973.24

Related Problems

Find third proportional to 217,111.50 and 344,611.50
Half scale
Find third proportional to 868,446 and 1,378,446
Double scale
Find third proportional to 434,225 and 689,226
Similar ratio
Find third proportional to 651,334.50 and 1,033,834.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.