Home / 100,946-146,721

Finding the Third Proportional to 100,946 and 146,721

Calculator

Solution

The third proportional to 100,946 and 146,721 is: 213,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,946 : 146,721 = 146,721 : x
  2. Step 2: Convert to fraction form
    100,946/146,721 = 146,721/x
  3. Step 3: Cross multiply
    100,946x = 146,721 × 146,721
  4. Step 4: Simplify right side
    100,946x = 21,527,051,841
  5. Step 5: Solve for x
    x = 21,527,051,841/100,946
  6. Step 6: Final answer
    x = 213,253.14

Related Problems

Find third proportional to 50,473 and 73,360.50
Half scale
Find third proportional to 201,892 and 293,442
Double scale
Find third proportional to 100,948 and 146,724
Similar ratio
Find third proportional to 151,419 and 220,081.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.