Home / 105,853-228,322

Finding the Third Proportional to 105,853 and 228,322

Calculator

Solution

The third proportional to 105,853 and 228,322 is: 492,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,853 : 228,322 = 228,322 : x
  2. Step 2: Convert to fraction form
    105,853/228,322 = 228,322/x
  3. Step 3: Cross multiply
    105,853x = 228,322 × 228,322
  4. Step 4: Simplify right side
    105,853x = 52,130,935,684
  5. Step 5: Solve for x
    x = 52,130,935,684/105,853
  6. Step 6: Final answer
    x = 492,484.25

Related Problems

Find third proportional to 52,926.50 and 114,161
Half scale
Find third proportional to 211,706 and 456,644
Double scale
Find third proportional to 105,855 and 228,326
Similar ratio
Find third proportional to 158,779.50 and 342,483
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.