Home / 699-784.50

Finding the Third Proportional to 699 and 784.50

Calculator

Solution

The third proportional to 699 and 784.50 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 784.50 = 784.50 : x
  2. Step 2: Convert to fraction form
    699/784.50 = 784.50/x
  3. Step 3: Cross multiply
    699x = 784.50 × 784.50
  4. Step 4: Simplify right side
    699x = 615,440.25
  5. Step 5: Solve for x
    x = 615,440.25/699
  6. Step 6: Final answer
    x = 880.46

Related Problems

Find third proportional to 349.50 and 392.25
Half scale
Find third proportional to 1,398 and 1,569
Double scale
Find third proportional to 701 and 787
Similar ratio
Find third proportional to 1,048.50 and 1,176.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.