Home / 459-706.50

Finding the Third Proportional to 459 and 706.50

Calculator

Solution

The third proportional to 459 and 706.50 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 706.50 = 706.50 : x
  2. Step 2: Convert to fraction form
    459/706.50 = 706.50/x
  3. Step 3: Cross multiply
    459x = 706.50 × 706.50
  4. Step 4: Simplify right side
    459x = 499,142.25
  5. Step 5: Solve for x
    x = 499,142.25/459
  6. Step 6: Final answer
    x = 1,087.46

Related Problems

Find third proportional to 229.50 and 353.25
Half scale
Find third proportional to 918 and 1,413
Double scale
Find third proportional to 461 and 710
Similar ratio
Find third proportional to 688.50 and 1,059.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.