Home / 462,082-686,346

Finding the Third Proportional to 462,082 and 686,346

Calculator

Solution

The third proportional to 462,082 and 686,346 is: 1,019,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,082 : 686,346 = 686,346 : x
  2. Step 2: Convert to fraction form
    462,082/686,346 = 686,346/x
  3. Step 3: Cross multiply
    462,082x = 686,346 × 686,346
  4. Step 4: Simplify right side
    462,082x = 471,070,831,716
  5. Step 5: Solve for x
    x = 471,070,831,716/462,082
  6. Step 6: Final answer
    x = 1,019,452.89

Related Problems

Find third proportional to 231,041 and 343,173
Half scale
Find third proportional to 924,164 and 1,372,692
Double scale
Find third proportional to 462,084 and 686,349
Similar ratio
Find third proportional to 693,123 and 1,029,519
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.