Home / 475-657.50

Finding the Third Proportional to 475 and 657.50

Calculator

Solution

The third proportional to 475 and 657.50 is: 910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475 : 657.50 = 657.50 : x
  2. Step 2: Convert to fraction form
    475/657.50 = 657.50/x
  3. Step 3: Cross multiply
    475x = 657.50 × 657.50
  4. Step 4: Simplify right side
    475x = 432,306.25
  5. Step 5: Solve for x
    x = 432,306.25/475
  6. Step 6: Final answer
    x = 910.12

Related Problems

Find third proportional to 237.50 and 328.75
Half scale
Find third proportional to 950 and 1,315
Double scale
Find third proportional to 477 and 660
Similar ratio
Find third proportional to 712.50 and 986.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.