Home / 644.50-704.50

Finding the Third Proportional to 644.50 and 704.50

Calculator

Solution

The third proportional to 644.50 and 704.50 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.50 : 704.50 = 704.50 : x
  2. Step 2: Convert to fraction form
    644.50/704.50 = 704.50/x
  3. Step 3: Cross multiply
    644.50x = 704.50 × 704.50
  4. Step 4: Simplify right side
    644.50x = 496,320.25
  5. Step 5: Solve for x
    x = 496,320.25/644.50
  6. Step 6: Final answer
    x = 770.09

Related Problems

Find third proportional to 322.25 and 352.25
Half scale
Find third proportional to 1,289 and 1,409
Double scale
Find third proportional to 647 and 707
Similar ratio
Find third proportional to 966.75 and 1,056.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.