Home / 213,136-312,791

Finding the Third Proportional to 213,136 and 312,791

Calculator

Solution

The third proportional to 213,136 and 312,791 is: 459,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,136 : 312,791 = 312,791 : x
  2. Step 2: Convert to fraction form
    213,136/312,791 = 312,791/x
  3. Step 3: Cross multiply
    213,136x = 312,791 × 312,791
  4. Step 4: Simplify right side
    213,136x = 97,838,209,681
  5. Step 5: Solve for x
    x = 97,838,209,681/213,136
  6. Step 6: Final answer
    x = 459,041.22

Related Problems

Find third proportional to 106,568 and 156,395.50
Half scale
Find third proportional to 426,272 and 625,582
Double scale
Find third proportional to 213,138 and 312,794
Similar ratio
Find third proportional to 319,704 and 469,186.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.