Home / 659.67-1,029.45

Finding the Third Proportional to 659.67 and 1,029.45

Calculator

Solution

The third proportional to 659.67 and 1,029.45 is: 1,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 1,029.45 = 1,029.45 : x
  2. Step 2: Convert to fraction form
    659.67/1,029.45 = 1,029.45/x
  3. Step 3: Cross multiply
    659.67x = 1,029.45 × 1,029.45
  4. Step 4: Simplify right side
    659.67x = 1,059,757.65
  5. Step 5: Solve for x
    x = 1,059,757.65/659.67
  6. Step 6: Final answer
    x = 1,606.49

Related Problems

Find third proportional to 329.84 and 514.72
Half scale
Find third proportional to 1,319.34 and 2,058.89
Double scale
Find third proportional to 662 and 1,033
Similar ratio
Find third proportional to 989.51 and 1,544.17
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.