Home / 642.19-1,402.69

Finding the Third Proportional to 642.19 and 1,402.69

Calculator

Solution

The third proportional to 642.19 and 1,402.69 is: 3,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.19 : 1,402.69 = 1,402.69 : x
  2. Step 2: Convert to fraction form
    642.19/1,402.69 = 1,402.69/x
  3. Step 3: Cross multiply
    642.19x = 1,402.69 × 1,402.69
  4. Step 4: Simplify right side
    642.19x = 1,967,532.22
  5. Step 5: Solve for x
    x = 1,967,532.22/642.19
  6. Step 6: Final answer
    x = 3,063.80

Related Problems

Find third proportional to 321.09 and 701.34
Half scale
Find third proportional to 1,284.38 and 2,805.38
Double scale
Find third proportional to 644 and 1,407
Similar ratio
Find third proportional to 963.28 and 2,104.03
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.