Home / 409,410-602,412

Finding the Third Proportional to 409,410 and 602,412

Calculator

Solution

The third proportional to 409,410 and 602,412 is: 886,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,410 : 602,412 = 602,412 : x
  2. Step 2: Convert to fraction form
    409,410/602,412 = 602,412/x
  3. Step 3: Cross multiply
    409,410x = 602,412 × 602,412
  4. Step 4: Simplify right side
    409,410x = 362,900,217,744
  5. Step 5: Solve for x
    x = 362,900,217,744/409,410
  6. Step 6: Final answer
    x = 886,398.03

Related Problems

Find third proportional to 204,705 and 301,206
Half scale
Find third proportional to 818,820 and 1,204,824
Double scale
Find third proportional to 409,412 and 602,415
Similar ratio
Find third proportional to 614,115 and 903,618
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.