Home / 466.50-829.50

Finding the Third Proportional to 466.50 and 829.50

Calculator

Solution

The third proportional to 466.50 and 829.50 is: 1,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 829.50 = 829.50 : x
  2. Step 2: Convert to fraction form
    466.50/829.50 = 829.50/x
  3. Step 3: Cross multiply
    466.50x = 829.50 × 829.50
  4. Step 4: Simplify right side
    466.50x = 688,070.25
  5. Step 5: Solve for x
    x = 688,070.25/466.50
  6. Step 6: Final answer
    x = 1,474.96

Related Problems

Find third proportional to 233.25 and 414.75
Half scale
Find third proportional to 933 and 1,659
Double scale
Find third proportional to 469 and 833
Similar ratio
Find third proportional to 699.75 and 1,244.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.