Home / 311,983-470,181

Finding the Third Proportional to 311,983 and 470,181

Calculator

Solution

The third proportional to 311,983 and 470,181 is: 708,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983 : 470,181 = 470,181 : x
  2. Step 2: Convert to fraction form
    311,983/470,181 = 470,181/x
  3. Step 3: Cross multiply
    311,983x = 470,181 × 470,181
  4. Step 4: Simplify right side
    311,983x = 221,070,172,761
  5. Step 5: Solve for x
    x = 221,070,172,761/311,983
  6. Step 6: Final answer
    x = 708,596.86

Related Problems

Find third proportional to 155,991.50 and 235,090.50
Half scale
Find third proportional to 623,966 and 940,362
Double scale
Find third proportional to 311,985 and 470,184
Similar ratio
Find third proportional to 467,974.50 and 705,271.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.