Home / 231,102-506,322

Finding the Third Proportional to 231,102 and 506,322

Calculator

Solution

The third proportional to 231,102 and 506,322 is: 1,109,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,102 : 506,322 = 506,322 : x
  2. Step 2: Convert to fraction form
    231,102/506,322 = 506,322/x
  3. Step 3: Cross multiply
    231,102x = 506,322 × 506,322
  4. Step 4: Simplify right side
    231,102x = 256,361,967,684
  5. Step 5: Solve for x
    x = 256,361,967,684/231,102
  6. Step 6: Final answer
    x = 1,109,302.25

Related Problems

Find third proportional to 115,551 and 253,161
Half scale
Find third proportional to 462,204 and 1,012,644
Double scale
Find third proportional to 231,104 and 506,326
Similar ratio
Find third proportional to 346,653 and 759,483
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.