Home / 313,602-689,632

Finding the Third Proportional to 313,602 and 689,632

Calculator

Solution

The third proportional to 313,602 and 689,632 is: 1,516,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,602 : 689,632 = 689,632 : x
  2. Step 2: Convert to fraction form
    313,602/689,632 = 689,632/x
  3. Step 3: Cross multiply
    313,602x = 689,632 × 689,632
  4. Step 4: Simplify right side
    313,602x = 475,592,295,424
  5. Step 5: Solve for x
    x = 475,592,295,424/313,602
  6. Step 6: Final answer
    x = 1,516,547.39

Related Problems

Find third proportional to 156,801 and 344,816
Half scale
Find third proportional to 627,204 and 1,379,264
Double scale
Find third proportional to 313,604 and 689,636
Similar ratio
Find third proportional to 470,403 and 1,034,448
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.