Home / 384,172-829,894

Finding the Third Proportional to 384,172 and 829,894

Calculator

Solution

The third proportional to 384,172 and 829,894 is: 1,792,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172 : 829,894 = 829,894 : x
  2. Step 2: Convert to fraction form
    384,172/829,894 = 829,894/x
  3. Step 3: Cross multiply
    384,172x = 829,894 × 829,894
  4. Step 4: Simplify right side
    384,172x = 688,724,051,236
  5. Step 5: Solve for x
    x = 688,724,051,236/384,172
  6. Step 6: Final answer
    x = 1,792,749.21

Related Problems

Find third proportional to 192,086 and 414,947
Half scale
Find third proportional to 768,344 and 1,659,788
Double scale
Find third proportional to 384,174 and 829,898
Similar ratio
Find third proportional to 576,258 and 1,244,841
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.