Home / 616.50-666.75

Finding the Third Proportional to 616.50 and 666.75

Calculator

Solution

The third proportional to 616.50 and 666.75 is: 721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 666.75 = 666.75 : x
  2. Step 2: Convert to fraction form
    616.50/666.75 = 666.75/x
  3. Step 3: Cross multiply
    616.50x = 666.75 × 666.75
  4. Step 4: Simplify right side
    616.50x = 444,555.56
  5. Step 5: Solve for x
    x = 444,555.56/616.50
  6. Step 6: Final answer
    x = 721.10

Related Problems

Find third proportional to 308.25 and 333.38
Half scale
Find third proportional to 1,233 and 1,333.50
Double scale
Find third proportional to 619 and 669
Similar ratio
Find third proportional to 924.75 and 1,000.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.