Home / 434-577.50

Finding the Third Proportional to 434 and 577.50

Calculator

Solution

The third proportional to 434 and 577.50 is: 768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434 : 577.50 = 577.50 : x
  2. Step 2: Convert to fraction form
    434/577.50 = 577.50/x
  3. Step 3: Cross multiply
    434x = 577.50 × 577.50
  4. Step 4: Simplify right side
    434x = 333,506.25
  5. Step 5: Solve for x
    x = 333,506.25/434
  6. Step 6: Final answer
    x = 768.45

Related Problems

Find third proportional to 217 and 288.75
Half scale
Find third proportional to 868 and 1,155
Double scale
Find third proportional to 436 and 580
Similar ratio
Find third proportional to 651 and 866.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.