Home / 678,120-829,752

Finding the Third Proportional to 678,120 and 829,752

Calculator

Solution

The third proportional to 678,120 and 829,752 is: 1,015,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,120 : 829,752 = 829,752 : x
  2. Step 2: Convert to fraction form
    678,120/829,752 = 829,752/x
  3. Step 3: Cross multiply
    678,120x = 829,752 × 829,752
  4. Step 4: Simplify right side
    678,120x = 688,488,381,504
  5. Step 5: Solve for x
    x = 688,488,381,504/678,120
  6. Step 6: Final answer
    x = 1,015,289.89

Related Problems

Find third proportional to 339,060 and 414,876
Half scale
Find third proportional to 1,356,240 and 1,659,504
Double scale
Find third proportional to 678,122 and 829,754
Similar ratio
Find third proportional to 1,017,180 and 1,244,628
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.