Home / 239,898-513,012

Finding the Third Proportional to 239,898 and 513,012

Calculator

Solution

The third proportional to 239,898 and 513,012 is: 1,097,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,898 : 513,012 = 513,012 : x
  2. Step 2: Convert to fraction form
    239,898/513,012 = 513,012/x
  3. Step 3: Cross multiply
    239,898x = 513,012 × 513,012
  4. Step 4: Simplify right side
    239,898x = 263,181,312,144
  5. Step 5: Solve for x
    x = 263,181,312,144/239,898
  6. Step 6: Final answer
    x = 1,097,055.05

Related Problems

Find third proportional to 119,949 and 256,506
Half scale
Find third proportional to 479,796 and 1,026,024
Double scale
Find third proportional to 239,900 and 513,016
Similar ratio
Find third proportional to 359,847 and 769,518
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.