Home / 212,465-457,654

Finding the Third Proportional to 212,465 and 457,654

Calculator

Solution

The third proportional to 212,465 and 457,654 is: 985,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465 : 457,654 = 457,654 : x
  2. Step 2: Convert to fraction form
    212,465/457,654 = 457,654/x
  3. Step 3: Cross multiply
    212,465x = 457,654 × 457,654
  4. Step 4: Simplify right side
    212,465x = 209,447,183,716
  5. Step 5: Solve for x
    x = 209,447,183,716/212,465
  6. Step 6: Final answer
    x = 985,796.17

Related Problems

Find third proportional to 106,232.50 and 228,827
Half scale
Find third proportional to 424,930 and 915,308
Double scale
Find third proportional to 212,467 and 457,658
Similar ratio
Find third proportional to 318,697.50 and 686,481
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.