Home / 514.69-686.81

Finding the Third Proportional to 514.69 and 686.81

Calculator

Solution

The third proportional to 514.69 and 686.81 is: 916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 686.81 = 686.81 : x
  2. Step 2: Convert to fraction form
    514.69/686.81 = 686.81/x
  3. Step 3: Cross multiply
    514.69x = 686.81 × 686.81
  4. Step 4: Simplify right side
    514.69x = 471,711.41
  5. Step 5: Solve for x
    x = 471,711.41/514.69
  6. Step 6: Final answer
    x = 916.50

Related Problems

Find third proportional to 257.34 and 343.41
Half scale
Find third proportional to 1,029.38 and 1,373.63
Double scale
Find third proportional to 517 and 689
Similar ratio
Find third proportional to 772.03 and 1,030.22
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.