Home / 560-617

Finding the Third Proportional to 560 and 617

Calculator

Solution

The third proportional to 560 and 617 is: 679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 617 = 617 : x
  2. Step 2: Convert to fraction form
    560/617 = 617/x
  3. Step 3: Cross multiply
    560x = 617 × 617
  4. Step 4: Simplify right side
    560x = 380,689
  5. Step 5: Solve for x
    x = 380,689/560
  6. Step 6: Final answer
    x = 679.80

Related Problems

Find third proportional to 280 and 308.50
Half scale
Find third proportional to 1,120 and 1,234
Double scale
Find third proportional to 562 and 619
Similar ratio
Find third proportional to 840 and 925.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.