Home / 289.50-471

Finding the Third Proportional to 289.50 and 471

Calculator

Solution

The third proportional to 289.50 and 471 is: 766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 471 = 471 : x
  2. Step 2: Convert to fraction form
    289.50/471 = 471/x
  3. Step 3: Cross multiply
    289.50x = 471 × 471
  4. Step 4: Simplify right side
    289.50x = 221,841
  5. Step 5: Solve for x
    x = 221,841/289.50
  6. Step 6: Final answer
    x = 766.29

Related Problems

Find third proportional to 144.75 and 235.50
Half scale
Find third proportional to 579 and 942
Double scale
Find third proportional to 292 and 474
Similar ratio
Find third proportional to 434.25 and 706.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.