Home / 442.50-507

Finding the Third Proportional to 442.50 and 507

Calculator

Solution

The third proportional to 442.50 and 507 is: 580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 507 = 507 : x
  2. Step 2: Convert to fraction form
    442.50/507 = 507/x
  3. Step 3: Cross multiply
    442.50x = 507 × 507
  4. Step 4: Simplify right side
    442.50x = 257,049
  5. Step 5: Solve for x
    x = 257,049/442.50
  6. Step 6: Final answer
    x = 580.90

Related Problems

Find third proportional to 221.25 and 253.50
Half scale
Find third proportional to 885 and 1,014
Double scale
Find third proportional to 445 and 509
Similar ratio
Find third proportional to 663.75 and 760.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.