Home / 747-803

Finding the Third Proportional to 747 and 803

Calculator

Solution

The third proportional to 747 and 803 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 803 = 803 : x
  2. Step 2: Convert to fraction form
    747/803 = 803/x
  3. Step 3: Cross multiply
    747x = 803 × 803
  4. Step 4: Simplify right side
    747x = 644,809
  5. Step 5: Solve for x
    x = 644,809/747
  6. Step 6: Final answer
    x = 863.20

Related Problems

Find third proportional to 373.50 and 401.50
Half scale
Find third proportional to 1,494 and 1,606
Double scale
Find third proportional to 749 and 805
Similar ratio
Find third proportional to 1,120.50 and 1,204.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.