Home / 106,346-148,701

Finding the Third Proportional to 106,346 and 148,701

Calculator

Solution

The third proportional to 106,346 and 148,701 is: 207,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,346 : 148,701 = 148,701 : x
  2. Step 2: Convert to fraction form
    106,346/148,701 = 148,701/x
  3. Step 3: Cross multiply
    106,346x = 148,701 × 148,701
  4. Step 4: Simplify right side
    106,346x = 22,111,987,401
  5. Step 5: Solve for x
    x = 22,111,987,401/106,346
  6. Step 6: Final answer
    x = 207,924.96

Related Problems

Find third proportional to 53,173 and 74,350.50
Half scale
Find third proportional to 212,692 and 297,402
Double scale
Find third proportional to 106,348 and 148,704
Similar ratio
Find third proportional to 159,519 and 223,051.50
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.