Home / 345,214-466,412

Finding the Third Proportional to 345,214 and 466,412

Calculator

Solution

The third proportional to 345,214 and 466,412 is: 630,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,214 : 466,412 = 466,412 : x
  2. Step 2: Convert to fraction form
    345,214/466,412 = 466,412/x
  3. Step 3: Cross multiply
    345,214x = 466,412 × 466,412
  4. Step 4: Simplify right side
    345,214x = 217,540,153,744
  5. Step 5: Solve for x
    x = 217,540,153,744/345,214
  6. Step 6: Final answer
    x = 630,160.29

Related Problems

Find third proportional to 172,607 and 233,206
Half scale
Find third proportional to 690,428 and 932,824
Double scale
Find third proportional to 345,216 and 466,415
Similar ratio
Find third proportional to 517,821 and 699,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.