Home / 693.56-1,023.05

Finding the Third Proportional to 693.56 and 1,023.05

Calculator

Solution

The third proportional to 693.56 and 1,023.05 is: 1,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 1,023.05 = 1,023.05 : x
  2. Step 2: Convert to fraction form
    693.56/1,023.05 = 1,023.05/x
  3. Step 3: Cross multiply
    693.56x = 1,023.05 × 1,023.05
  4. Step 4: Simplify right side
    693.56x = 1,046,624.91
  5. Step 5: Solve for x
    x = 1,046,624.91/693.56
  6. Step 6: Final answer
    x = 1,509.06

Related Problems

Find third proportional to 346.78 and 511.52
Half scale
Find third proportional to 1,387.13 and 2,046.09
Double scale
Find third proportional to 696 and 1,026
Similar ratio
Find third proportional to 1,040.34 and 1,534.57
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.