Home / 697.50-753.75

Finding the Third Proportional to 697.50 and 753.75

Calculator

Solution

The third proportional to 697.50 and 753.75 is: 814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 753.75 = 753.75 : x
  2. Step 2: Convert to fraction form
    697.50/753.75 = 753.75/x
  3. Step 3: Cross multiply
    697.50x = 753.75 × 753.75
  4. Step 4: Simplify right side
    697.50x = 568,139.06
  5. Step 5: Solve for x
    x = 568,139.06/697.50
  6. Step 6: Final answer
    x = 814.54

Related Problems

Find third proportional to 348.75 and 376.88
Half scale
Find third proportional to 1,395 and 1,507.50
Double scale
Find third proportional to 700 and 756
Similar ratio
Find third proportional to 1,046.25 and 1,130.63
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.