Home / 212,467-297,033

Finding the Third Proportional to 212,467 and 297,033

Calculator

Solution

The third proportional to 212,467 and 297,033 is: 415,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,467 : 297,033 = 297,033 : x
  2. Step 2: Convert to fraction form
    212,467/297,033 = 297,033/x
  3. Step 3: Cross multiply
    212,467x = 297,033 × 297,033
  4. Step 4: Simplify right side
    212,467x = 88,228,603,089
  5. Step 5: Solve for x
    x = 88,228,603,089/212,467
  6. Step 6: Final answer
    x = 415,257.91

Related Problems

Find third proportional to 106,233.50 and 148,516.50
Half scale
Find third proportional to 424,934 and 594,066
Double scale
Find third proportional to 212,469 and 297,036
Similar ratio
Find third proportional to 318,700.50 and 445,549.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.