Home / 97,846-212,422

Finding the Third Proportional to 97,846 and 212,422

Calculator

Solution

The third proportional to 97,846 and 212,422 is: 461,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846 : 212,422 = 212,422 : x
  2. Step 2: Convert to fraction form
    97,846/212,422 = 212,422/x
  3. Step 3: Cross multiply
    97,846x = 212,422 × 212,422
  4. Step 4: Simplify right side
    97,846x = 45,123,106,084
  5. Step 5: Solve for x
    x = 45,123,106,084/97,846
  6. Step 6: Final answer
    x = 461,164.55

Related Problems

Find third proportional to 48,923 and 106,211
Half scale
Find third proportional to 195,692 and 424,844
Double scale
Find third proportional to 97,848 and 212,426
Similar ratio
Find third proportional to 146,769 and 318,633
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.