Home / 75,748-106,210

Finding the Third Proportional to 75,748 and 106,210

Calculator

Solution

The third proportional to 75,748 and 106,210 is: 148,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,748 : 106,210 = 106,210 : x
  2. Step 2: Convert to fraction form
    75,748/106,210 = 106,210/x
  3. Step 3: Cross multiply
    75,748x = 106,210 × 106,210
  4. Step 4: Simplify right side
    75,748x = 11,280,564,100
  5. Step 5: Solve for x
    x = 11,280,564,100/75,748
  6. Step 6: Final answer
    x = 148,922.27

Related Problems

Find third proportional to 37,874 and 53,105
Half scale
Find third proportional to 151,496 and 212,420
Double scale
Find third proportional to 75,750 and 106,213
Similar ratio
Find third proportional to 113,622 and 159,315
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.