Home / 313,420-470,814

Finding the Third Proportional to 313,420 and 470,814

Calculator

Solution

The third proportional to 313,420 and 470,814 is: 707,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,420 : 470,814 = 470,814 : x
  2. Step 2: Convert to fraction form
    313,420/470,814 = 470,814/x
  3. Step 3: Cross multiply
    313,420x = 470,814 × 470,814
  4. Step 4: Simplify right side
    313,420x = 221,665,822,596
  5. Step 5: Solve for x
    x = 221,665,822,596/313,420
  6. Step 6: Final answer
    x = 707,248.49

Related Problems

Find third proportional to 156,710 and 235,407
Half scale
Find third proportional to 626,840 and 941,628
Double scale
Find third proportional to 313,422 and 470,817
Similar ratio
Find third proportional to 470,130 and 706,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.