Home / 208,342-431,454

Finding the Third Proportional to 208,342 and 431,454

Calculator

Solution

The third proportional to 208,342 and 431,454 is: 893,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,342 : 431,454 = 431,454 : x
  2. Step 2: Convert to fraction form
    208,342/431,454 = 431,454/x
  3. Step 3: Cross multiply
    208,342x = 431,454 × 431,454
  4. Step 4: Simplify right side
    208,342x = 186,152,554,116
  5. Step 5: Solve for x
    x = 186,152,554,116/208,342
  6. Step 6: Final answer
    x = 893,495.09

Related Problems

Find third proportional to 104,171 and 215,727
Half scale
Find third proportional to 416,684 and 862,908
Double scale
Find third proportional to 208,344 and 431,458
Similar ratio
Find third proportional to 312,513 and 647,181
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.