Home / 296,312-470,710

Finding the Third Proportional to 296,312 and 470,710

Calculator

Solution

The third proportional to 296,312 and 470,710 is: 747,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,312 : 470,710 = 470,710 : x
  2. Step 2: Convert to fraction form
    296,312/470,710 = 470,710/x
  3. Step 3: Cross multiply
    296,312x = 470,710 × 470,710
  4. Step 4: Simplify right side
    296,312x = 221,567,904,100
  5. Step 5: Solve for x
    x = 221,567,904,100/296,312
  6. Step 6: Final answer
    x = 747,752.05

Related Problems

Find third proportional to 148,156 and 235,355
Half scale
Find third proportional to 592,624 and 941,420
Double scale
Find third proportional to 296,314 and 470,713
Similar ratio
Find third proportional to 444,468 and 706,065
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.