Home / 83,388-120,618

Finding the Third Proportional to 83,388 and 120,618

Calculator

Solution

The third proportional to 83,388 and 120,618 is: 174,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,388 : 120,618 = 120,618 : x
  2. Step 2: Convert to fraction form
    83,388/120,618 = 120,618/x
  3. Step 3: Cross multiply
    83,388x = 120,618 × 120,618
  4. Step 4: Simplify right side
    83,388x = 14,548,701,924
  5. Step 5: Solve for x
    x = 14,548,701,924/83,388
  6. Step 6: Final answer
    x = 174,469.97

Related Problems

Find third proportional to 41,694 and 60,309
Half scale
Find third proportional to 166,776 and 241,236
Double scale
Find third proportional to 83,390 and 120,621
Similar ratio
Find third proportional to 125,082 and 180,927
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.