Home / 212,114-461,740

Finding the Third Proportional to 212,114 and 461,740

Calculator

Solution

The third proportional to 212,114 and 461,740 is: 1,005,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,114 : 461,740 = 461,740 : x
  2. Step 2: Convert to fraction form
    212,114/461,740 = 461,740/x
  3. Step 3: Cross multiply
    212,114x = 461,740 × 461,740
  4. Step 4: Simplify right side
    212,114x = 213,203,827,600
  5. Step 5: Solve for x
    x = 213,203,827,600/212,114
  6. Step 6: Final answer
    x = 1,005,137.93

Related Problems

Find third proportional to 106,057 and 230,870
Half scale
Find third proportional to 424,228 and 923,480
Double scale
Find third proportional to 212,116 and 461,744
Similar ratio
Find third proportional to 318,171 and 692,610
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.