Home / 329,313-684,464

Finding the Third Proportional to 329,313 and 684,464

Calculator

Solution

The third proportional to 329,313 and 684,464 is: 1,422,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,313 : 684,464 = 684,464 : x
  2. Step 2: Convert to fraction form
    329,313/684,464 = 684,464/x
  3. Step 3: Cross multiply
    329,313x = 684,464 × 684,464
  4. Step 4: Simplify right side
    329,313x = 468,490,967,296
  5. Step 5: Solve for x
    x = 468,490,967,296/329,313
  6. Step 6: Final answer
    x = 1,422,631.26

Related Problems

Find third proportional to 164,656.50 and 342,232
Half scale
Find third proportional to 658,626 and 1,368,928
Double scale
Find third proportional to 329,315 and 684,468
Similar ratio
Find third proportional to 493,969.50 and 1,026,696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.