Home / 259,312-423,424

Finding the Third Proportional to 259,312 and 423,424

Calculator

Solution

The third proportional to 259,312 and 423,424 is: 691,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312 : 423,424 = 423,424 : x
  2. Step 2: Convert to fraction form
    259,312/423,424 = 423,424/x
  3. Step 3: Cross multiply
    259,312x = 423,424 × 423,424
  4. Step 4: Simplify right side
    259,312x = 179,287,883,776
  5. Step 5: Solve for x
    x = 179,287,883,776/259,312
  6. Step 6: Final answer
    x = 691,398.33

Related Problems

Find third proportional to 129,656 and 211,712
Half scale
Find third proportional to 518,624 and 846,848
Double scale
Find third proportional to 259,314 and 423,427
Similar ratio
Find third proportional to 388,968 and 635,136
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.