Home / 210,136-314,462

Finding the Third Proportional to 210,136 and 314,462

Calculator

Solution

The third proportional to 210,136 and 314,462 is: 470,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,136 : 314,462 = 314,462 : x
  2. Step 2: Convert to fraction form
    210,136/314,462 = 314,462/x
  3. Step 3: Cross multiply
    210,136x = 314,462 × 314,462
  4. Step 4: Simplify right side
    210,136x = 98,886,349,444
  5. Step 5: Solve for x
    x = 98,886,349,444/210,136
  6. Step 6: Final answer
    x = 470,582.62

Related Problems

Find third proportional to 105,068 and 157,231
Half scale
Find third proportional to 420,272 and 628,924
Double scale
Find third proportional to 210,138 and 314,465
Similar ratio
Find third proportional to 315,204 and 471,693
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.