Home / 109,708-258,718

Finding the Third Proportional to 109,708 and 258,718

Calculator

Solution

The third proportional to 109,708 and 258,718 is: 610,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,708 : 258,718 = 258,718 : x
  2. Step 2: Convert to fraction form
    109,708/258,718 = 258,718/x
  3. Step 3: Cross multiply
    109,708x = 258,718 × 258,718
  4. Step 4: Simplify right side
    109,708x = 66,935,003,524
  5. Step 5: Solve for x
    x = 66,935,003,524/109,708
  6. Step 6: Final answer
    x = 610,119.62

Related Problems

Find third proportional to 54,854 and 129,359
Half scale
Find third proportional to 219,416 and 517,436
Double scale
Find third proportional to 109,710 and 258,723
Similar ratio
Find third proportional to 164,562 and 388,077
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.