Home / 527-697

Finding the Third Proportional to 527 and 697

Calculator

Solution

The third proportional to 527 and 697 is: 921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527 : 697 = 697 : x
  2. Step 2: Convert to fraction form
    527/697 = 697/x
  3. Step 3: Cross multiply
    527x = 697 × 697
  4. Step 4: Simplify right side
    527x = 485,809
  5. Step 5: Solve for x
    x = 485,809/527
  6. Step 6: Final answer
    x = 921.84

Related Problems

Find third proportional to 263.50 and 348.50
Half scale
Find third proportional to 1,054 and 1,394
Double scale
Find third proportional to 529 and 700
Similar ratio
Find third proportional to 790.50 and 1,045.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.