Home / 730.50-822

Finding the Third Proportional to 730.50 and 822

Calculator

Solution

The third proportional to 730.50 and 822 is: 924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    730.50/822 = 822/x
  3. Step 3: Cross multiply
    730.50x = 822 × 822
  4. Step 4: Simplify right side
    730.50x = 675,684
  5. Step 5: Solve for x
    x = 675,684/730.50
  6. Step 6: Final answer
    x = 924.96

Related Problems

Find third proportional to 365.25 and 411
Half scale
Find third proportional to 1,461 and 1,644
Double scale
Find third proportional to 733 and 824
Similar ratio
Find third proportional to 1,095.75 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.