Home / 430.50-569.25

Finding the Third Proportional to 430.50 and 569.25

Calculator

Solution

The third proportional to 430.50 and 569.25 is: 752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 569.25 = 569.25 : x
  2. Step 2: Convert to fraction form
    430.50/569.25 = 569.25/x
  3. Step 3: Cross multiply
    430.50x = 569.25 × 569.25
  4. Step 4: Simplify right side
    430.50x = 324,045.56
  5. Step 5: Solve for x
    x = 324,045.56/430.50
  6. Step 6: Final answer
    x = 752.72

Related Problems

Find third proportional to 215.25 and 284.63
Half scale
Find third proportional to 861 and 1,138.50
Double scale
Find third proportional to 433 and 572
Similar ratio
Find third proportional to 645.75 and 853.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.