Home / 666-688.50

Finding the Third Proportional to 666 and 688.50

Calculator

Solution

The third proportional to 666 and 688.50 is: 711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    666 : 688.50 = 688.50 : x
  2. Step 2: Convert to fraction form
    666/688.50 = 688.50/x
  3. Step 3: Cross multiply
    666x = 688.50 × 688.50
  4. Step 4: Simplify right side
    666x = 474,032.25
  5. Step 5: Solve for x
    x = 474,032.25/666
  6. Step 6: Final answer
    x = 711.76

Related Problems

Find third proportional to 333 and 344.25
Half scale
Find third proportional to 1,332 and 1,377
Double scale
Find third proportional to 668 and 691
Similar ratio
Find third proportional to 999 and 1,032.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.