Home / 384,138-829,824

Finding the Third Proportional to 384,138 and 829,824

Calculator

Solution

The third proportional to 384,138 and 829,824 is: 1,792,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138 : 829,824 = 829,824 : x
  2. Step 2: Convert to fraction form
    384,138/829,824 = 829,824/x
  3. Step 3: Cross multiply
    384,138x = 829,824 × 829,824
  4. Step 4: Simplify right side
    384,138x = 688,607,870,976
  5. Step 5: Solve for x
    x = 688,607,870,976/384,138
  6. Step 6: Final answer
    x = 1,792,605.45

Related Problems

Find third proportional to 192,069 and 414,912
Half scale
Find third proportional to 768,276 and 1,659,648
Double scale
Find third proportional to 384,140 and 829,828
Similar ratio
Find third proportional to 576,207 and 1,244,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.