Home / 461.38-560.94

Finding the Third Proportional to 461.38 and 560.94

Calculator

Solution

The third proportional to 461.38 and 560.94 is: 681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.38 : 560.94 = 560.94 : x
  2. Step 2: Convert to fraction form
    461.38/560.94 = 560.94/x
  3. Step 3: Cross multiply
    461.38x = 560.94 × 560.94
  4. Step 4: Simplify right side
    461.38x = 314,650.88
  5. Step 5: Solve for x
    x = 314,650.88/461.38
  6. Step 6: Final answer
    x = 681.99

Related Problems

Find third proportional to 230.69 and 280.47
Half scale
Find third proportional to 922.75 and 1,121.88
Double scale
Find third proportional to 463 and 563
Similar ratio
Find third proportional to 692.06 and 841.41
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.