Home / 285,122-417,315

Finding the Third Proportional to 285,122 and 417,315

Calculator

Solution

The third proportional to 285,122 and 417,315 is: 610,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,122 : 417,315 = 417,315 : x
  2. Step 2: Convert to fraction form
    285,122/417,315 = 417,315/x
  3. Step 3: Cross multiply
    285,122x = 417,315 × 417,315
  4. Step 4: Simplify right side
    285,122x = 174,151,809,225
  5. Step 5: Solve for x
    x = 174,151,809,225/285,122
  6. Step 6: Final answer
    x = 610,797.52

Related Problems

Find third proportional to 142,561 and 208,657.50
Half scale
Find third proportional to 570,244 and 834,630
Double scale
Find third proportional to 285,124 and 417,318
Similar ratio
Find third proportional to 427,683 and 625,972.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.