Home / 377,082-527,463

Finding the Third Proportional to 377,082 and 527,463

Calculator

Solution

The third proportional to 377,082 and 527,463 is: 737,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082 : 527,463 = 527,463 : x
  2. Step 2: Convert to fraction form
    377,082/527,463 = 527,463/x
  3. Step 3: Cross multiply
    377,082x = 527,463 × 527,463
  4. Step 4: Simplify right side
    377,082x = 278,217,216,369
  5. Step 5: Solve for x
    x = 278,217,216,369/377,082
  6. Step 6: Final answer
    x = 737,816.22

Related Problems

Find third proportional to 188,541 and 263,731.50
Half scale
Find third proportional to 754,164 and 1,054,926
Double scale
Find third proportional to 377,084 and 527,466
Similar ratio
Find third proportional to 565,623 and 791,194.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.