Home / 311,094-456,428

Finding the Third Proportional to 311,094 and 456,428

Calculator

Solution

The third proportional to 311,094 and 456,428 is: 669,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094 : 456,428 = 456,428 : x
  2. Step 2: Convert to fraction form
    311,094/456,428 = 456,428/x
  3. Step 3: Cross multiply
    311,094x = 456,428 × 456,428
  4. Step 4: Simplify right side
    311,094x = 208,326,519,184
  5. Step 5: Solve for x
    x = 208,326,519,184/311,094
  6. Step 6: Final answer
    x = 669,657.79

Related Problems

Find third proportional to 155,547 and 228,214
Half scale
Find third proportional to 622,188 and 912,856
Double scale
Find third proportional to 311,096 and 456,431
Similar ratio
Find third proportional to 466,641 and 684,642
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.