Home / 434.50-563.75

Finding the Third Proportional to 434.50 and 563.75

Calculator

Solution

The third proportional to 434.50 and 563.75 is: 731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 563.75 = 563.75 : x
  2. Step 2: Convert to fraction form
    434.50/563.75 = 563.75/x
  3. Step 3: Cross multiply
    434.50x = 563.75 × 563.75
  4. Step 4: Simplify right side
    434.50x = 317,814.06
  5. Step 5: Solve for x
    x = 317,814.06/434.50
  6. Step 6: Final answer
    x = 731.45

Related Problems

Find third proportional to 217.25 and 281.88
Half scale
Find third proportional to 869 and 1,127.50
Double scale
Find third proportional to 437 and 566
Similar ratio
Find third proportional to 651.75 and 845.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.