Home / 507-526.50

Finding the Third Proportional to 507 and 526.50

Calculator

Solution

The third proportional to 507 and 526.50 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 526.50 = 526.50 : x
  2. Step 2: Convert to fraction form
    507/526.50 = 526.50/x
  3. Step 3: Cross multiply
    507x = 526.50 × 526.50
  4. Step 4: Simplify right side
    507x = 277,202.25
  5. Step 5: Solve for x
    x = 277,202.25/507
  6. Step 6: Final answer
    x = 546.75

Related Problems

Find third proportional to 253.50 and 263.25
Half scale
Find third proportional to 1,014 and 1,053
Double scale
Find third proportional to 509 and 529
Similar ratio
Find third proportional to 760.50 and 789.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.