Home / 311,946-470,137

Finding the Third Proportional to 311,946 and 470,137

Calculator

Solution

The third proportional to 311,946 and 470,137 is: 708,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,946 : 470,137 = 470,137 : x
  2. Step 2: Convert to fraction form
    311,946/470,137 = 470,137/x
  3. Step 3: Cross multiply
    311,946x = 470,137 × 470,137
  4. Step 4: Simplify right side
    311,946x = 221,028,798,769
  5. Step 5: Solve for x
    x = 221,028,798,769/311,946
  6. Step 6: Final answer
    x = 708,548.27

Related Problems

Find third proportional to 155,973 and 235,068.50
Half scale
Find third proportional to 623,892 and 940,274
Double scale
Find third proportional to 311,948 and 470,140
Similar ratio
Find third proportional to 467,919 and 705,205.50
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.