Home / 624.50-665

Finding the Third Proportional to 624.50 and 665

Calculator

Solution

The third proportional to 624.50 and 665 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.50 : 665 = 665 : x
  2. Step 2: Convert to fraction form
    624.50/665 = 665/x
  3. Step 3: Cross multiply
    624.50x = 665 × 665
  4. Step 4: Simplify right side
    624.50x = 442,225
  5. Step 5: Solve for x
    x = 442,225/624.50
  6. Step 6: Final answer
    x = 708.13

Related Problems

Find third proportional to 312.25 and 332.50
Half scale
Find third proportional to 1,249 and 1,330
Double scale
Find third proportional to 627 and 667
Similar ratio
Find third proportional to 936.75 and 997.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.