Home / 517,576-823,020

Finding the Third Proportional to 517,576 and 823,020

Calculator

Solution

The third proportional to 517,576 and 823,020 is: 1,308,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,576 : 823,020 = 823,020 : x
  2. Step 2: Convert to fraction form
    517,576/823,020 = 823,020/x
  3. Step 3: Cross multiply
    517,576x = 823,020 × 823,020
  4. Step 4: Simplify right side
    517,576x = 677,361,920,400
  5. Step 5: Solve for x
    x = 677,361,920,400/517,576
  6. Step 6: Final answer
    x = 1,308,719.73

Related Problems

Find third proportional to 258,788 and 411,510
Half scale
Find third proportional to 1,035,152 and 1,646,040
Double scale
Find third proportional to 517,578 and 823,023
Similar ratio
Find third proportional to 776,364 and 1,234,530
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.