Home / 269.25-688.13

Finding the Third Proportional to 269.25 and 688.13

Calculator

Solution

The third proportional to 269.25 and 688.13 is: 1,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.25 : 688.13 = 688.13 : x
  2. Step 2: Convert to fraction form
    269.25/688.13 = 688.13/x
  3. Step 3: Cross multiply
    269.25x = 688.13 × 688.13
  4. Step 4: Simplify right side
    269.25x = 473,516.02
  5. Step 5: Solve for x
    x = 473,516.02/269.25
  6. Step 6: Final answer
    x = 1,758.65

Related Problems

Find third proportional to 134.63 and 344.06
Half scale
Find third proportional to 538.50 and 1,376.25
Double scale
Find third proportional to 271 and 693
Similar ratio
Find third proportional to 403.88 and 1,032.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.