Home / 371-527

Finding the Third Proportional to 371 and 527

Calculator

Solution

The third proportional to 371 and 527 is: 748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371 : 527 = 527 : x
  2. Step 2: Convert to fraction form
    371/527 = 527/x
  3. Step 3: Cross multiply
    371x = 527 × 527
  4. Step 4: Simplify right side
    371x = 277,729
  5. Step 5: Solve for x
    x = 277,729/371
  6. Step 6: Final answer
    x = 748.60

Related Problems

Find third proportional to 185.50 and 263.50
Half scale
Find third proportional to 742 and 1,054
Double scale
Find third proportional to 373 and 530
Similar ratio
Find third proportional to 556.50 and 790.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.