Home / 522,502-784,457

Finding the Third Proportional to 522,502 and 784,457

Calculator

Solution

The third proportional to 522,502 and 784,457 is: 1,177,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,502 : 784,457 = 784,457 : x
  2. Step 2: Convert to fraction form
    522,502/784,457 = 784,457/x
  3. Step 3: Cross multiply
    522,502x = 784,457 × 784,457
  4. Step 4: Simplify right side
    522,502x = 615,372,784,849
  5. Step 5: Solve for x
    x = 615,372,784,849/522,502
  6. Step 6: Final answer
    x = 1,177,742.45

Related Problems

Find third proportional to 261,251 and 392,228.50
Half scale
Find third proportional to 1,045,004 and 1,568,914
Double scale
Find third proportional to 522,504 and 784,460
Similar ratio
Find third proportional to 783,753 and 1,176,685.50
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.