Home / 212,228-457,612

Finding the Third Proportional to 212,228 and 457,612

Calculator

Solution

The third proportional to 212,228 and 457,612 is: 986,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,228 : 457,612 = 457,612 : x
  2. Step 2: Convert to fraction form
    212,228/457,612 = 457,612/x
  3. Step 3: Cross multiply
    212,228x = 457,612 × 457,612
  4. Step 4: Simplify right side
    212,228x = 209,408,742,544
  5. Step 5: Solve for x
    x = 209,408,742,544/212,228
  6. Step 6: Final answer
    x = 986,715.90

Related Problems

Find third proportional to 106,114 and 228,806
Half scale
Find third proportional to 424,456 and 915,224
Double scale
Find third proportional to 212,230 and 457,616
Similar ratio
Find third proportional to 318,342 and 686,418
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.