Home / 189,213-284,618

Finding the Third Proportional to 189,213 and 284,618

Calculator

Solution

The third proportional to 189,213 and 284,618 is: 428,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,213 : 284,618 = 284,618 : x
  2. Step 2: Convert to fraction form
    189,213/284,618 = 284,618/x
  3. Step 3: Cross multiply
    189,213x = 284,618 × 284,618
  4. Step 4: Simplify right side
    189,213x = 81,007,405,924
  5. Step 5: Solve for x
    x = 81,007,405,924/189,213
  6. Step 6: Final answer
    x = 428,128.12

Related Problems

Find third proportional to 94,606.50 and 142,309
Half scale
Find third proportional to 378,426 and 569,236
Double scale
Find third proportional to 189,215 and 284,621
Similar ratio
Find third proportional to 283,819.50 and 426,927
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.