Home / 146,722-312,822

Finding the Third Proportional to 146,722 and 312,822

Calculator

Solution

The third proportional to 146,722 and 312,822 is: 666,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,722 : 312,822 = 312,822 : x
  2. Step 2: Convert to fraction form
    146,722/312,822 = 312,822/x
  3. Step 3: Cross multiply
    146,722x = 312,822 × 312,822
  4. Step 4: Simplify right side
    146,722x = 97,857,603,684
  5. Step 5: Solve for x
    x = 97,857,603,684/146,722
  6. Step 6: Final answer
    x = 666,959.31

Related Problems

Find third proportional to 73,361 and 156,411
Half scale
Find third proportional to 293,444 and 625,644
Double scale
Find third proportional to 146,724 and 312,826
Similar ratio
Find third proportional to 220,083 and 469,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.