Home / 210,196-317,476

Finding the Third Proportional to 210,196 and 317,476

Calculator

Solution

The third proportional to 210,196 and 317,476 is: 479,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,196 : 317,476 = 317,476 : x
  2. Step 2: Convert to fraction form
    210,196/317,476 = 317,476/x
  3. Step 3: Cross multiply
    210,196x = 317,476 × 317,476
  4. Step 4: Simplify right side
    210,196x = 100,791,010,576
  5. Step 5: Solve for x
    x = 100,791,010,576/210,196
  6. Step 6: Final answer
    x = 479,509.65

Related Problems

Find third proportional to 105,098 and 158,738
Half scale
Find third proportional to 420,392 and 634,952
Double scale
Find third proportional to 210,198 and 317,479
Similar ratio
Find third proportional to 315,294 and 476,214
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.