Home / 212,706-464,049

Finding the Third Proportional to 212,706 and 464,049

Calculator

Solution

The third proportional to 212,706 and 464,049 is: 1,012,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,706 : 464,049 = 464,049 : x
  2. Step 2: Convert to fraction form
    212,706/464,049 = 464,049/x
  3. Step 3: Cross multiply
    212,706x = 464,049 × 464,049
  4. Step 4: Simplify right side
    212,706x = 215,341,474,401
  5. Step 5: Solve for x
    x = 215,341,474,401/212,706
  6. Step 6: Final answer
    x = 1,012,390.22

Related Problems

Find third proportional to 106,353 and 232,024.50
Half scale
Find third proportional to 425,412 and 928,098
Double scale
Find third proportional to 212,708 and 464,053
Similar ratio
Find third proportional to 319,059 and 696,073.50
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.