Home / 416-572.50

Finding the Third Proportional to 416 and 572.50

Calculator

Solution

The third proportional to 416 and 572.50 is: 787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 572.50 = 572.50 : x
  2. Step 2: Convert to fraction form
    416/572.50 = 572.50/x
  3. Step 3: Cross multiply
    416x = 572.50 × 572.50
  4. Step 4: Simplify right side
    416x = 327,756.25
  5. Step 5: Solve for x
    x = 327,756.25/416
  6. Step 6: Final answer
    x = 787.88

Related Problems

Find third proportional to 208 and 286.25
Half scale
Find third proportional to 832 and 1,145
Double scale
Find third proportional to 418 and 575
Similar ratio
Find third proportional to 624 and 858.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.