Home / 472.50-829

Finding the Third Proportional to 472.50 and 829

Calculator

Solution

The third proportional to 472.50 and 829 is: 1,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 829 = 829 : x
  2. Step 2: Convert to fraction form
    472.50/829 = 829/x
  3. Step 3: Cross multiply
    472.50x = 829 × 829
  4. Step 4: Simplify right side
    472.50x = 687,241
  5. Step 5: Solve for x
    x = 687,241/472.50
  6. Step 6: Final answer
    x = 1,454.48

Related Problems

Find third proportional to 236.25 and 414.50
Half scale
Find third proportional to 945 and 1,658
Double scale
Find third proportional to 475 and 833
Similar ratio
Find third proportional to 708.75 and 1,243.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.