Home / 165,822-258,489

Finding the Third Proportional to 165,822 and 258,489

Calculator

Solution

The third proportional to 165,822 and 258,489 is: 402,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,822 : 258,489 = 258,489 : x
  2. Step 2: Convert to fraction form
    165,822/258,489 = 258,489/x
  3. Step 3: Cross multiply
    165,822x = 258,489 × 258,489
  4. Step 4: Simplify right side
    165,822x = 66,816,563,121
  5. Step 5: Solve for x
    x = 66,816,563,121/165,822
  6. Step 6: Final answer
    x = 402,941.49

Related Problems

Find third proportional to 82,911 and 129,244.50
Half scale
Find third proportional to 331,644 and 516,978
Double scale
Find third proportional to 165,824 and 258,492
Similar ratio
Find third proportional to 248,733 and 387,733.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.