Home / 208,286-431,342

Finding the Third Proportional to 208,286 and 431,342

Calculator

Solution

The third proportional to 208,286 and 431,342 is: 893,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,286 : 431,342 = 431,342 : x
  2. Step 2: Convert to fraction form
    208,286/431,342 = 431,342/x
  3. Step 3: Cross multiply
    208,286x = 431,342 × 431,342
  4. Step 4: Simplify right side
    208,286x = 186,055,920,964
  5. Step 5: Solve for x
    x = 186,055,920,964/208,286
  6. Step 6: Final answer
    x = 893,271.37

Related Problems

Find third proportional to 104,143 and 215,671
Half scale
Find third proportional to 416,572 and 862,684
Double scale
Find third proportional to 208,288 and 431,346
Similar ratio
Find third proportional to 312,429 and 647,013
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.