Home / 478,406-770,829

Finding the Third Proportional to 478,406 and 770,829

Calculator

Solution

The third proportional to 478,406 and 770,829 is: 1,241,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,406 : 770,829 = 770,829 : x
  2. Step 2: Convert to fraction form
    478,406/770,829 = 770,829/x
  3. Step 3: Cross multiply
    478,406x = 770,829 × 770,829
  4. Step 4: Simplify right side
    478,406x = 594,177,347,241
  5. Step 5: Solve for x
    x = 594,177,347,241/478,406
  6. Step 6: Final answer
    x = 1,241,993.93

Related Problems

Find third proportional to 239,203 and 385,414.50
Half scale
Find third proportional to 956,812 and 1,541,658
Double scale
Find third proportional to 478,408 and 770,832
Similar ratio
Find third proportional to 717,609 and 1,156,243.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.