Home / 147,682-221,658

Finding the Third Proportional to 147,682 and 221,658

Calculator

Solution

The third proportional to 147,682 and 221,658 is: 332,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,682 : 221,658 = 221,658 : x
  2. Step 2: Convert to fraction form
    147,682/221,658 = 221,658/x
  3. Step 3: Cross multiply
    147,682x = 221,658 × 221,658
  4. Step 4: Simplify right side
    147,682x = 49,132,268,964
  5. Step 5: Solve for x
    x = 49,132,268,964/147,682
  6. Step 6: Final answer
    x = 332,689.62

Related Problems

Find third proportional to 73,841 and 110,829
Half scale
Find third proportional to 295,364 and 443,316
Double scale
Find third proportional to 147,684 and 221,661
Similar ratio
Find third proportional to 221,523 and 332,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.