Home / 97,464-146,916

Finding the Third Proportional to 97,464 and 146,916

Calculator

Solution

The third proportional to 97,464 and 146,916 is: 221,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,464 : 146,916 = 146,916 : x
  2. Step 2: Convert to fraction form
    97,464/146,916 = 146,916/x
  3. Step 3: Cross multiply
    97,464x = 146,916 × 146,916
  4. Step 4: Simplify right side
    97,464x = 21,584,311,056
  5. Step 5: Solve for x
    x = 21,584,311,056/97,464
  6. Step 6: Final answer
    x = 221,459.32

Related Problems

Find third proportional to 48,732 and 73,458
Half scale
Find third proportional to 194,928 and 293,832
Double scale
Find third proportional to 97,466 and 146,919
Similar ratio
Find third proportional to 146,196 and 220,374
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.