Home / 212,100-457,410

Finding the Third Proportional to 212,100 and 457,410

Calculator

Solution

The third proportional to 212,100 and 457,410 is: 986,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,100 : 457,410 = 457,410 : x
  2. Step 2: Convert to fraction form
    212,100/457,410 = 457,410/x
  3. Step 3: Cross multiply
    212,100x = 457,410 × 457,410
  4. Step 4: Simplify right side
    212,100x = 209,223,908,100
  5. Step 5: Solve for x
    x = 209,223,908,100/212,100
  6. Step 6: Final answer
    x = 986,439.93

Related Problems

Find third proportional to 106,050 and 228,705
Half scale
Find third proportional to 424,200 and 914,820
Double scale
Find third proportional to 212,102 and 457,414
Similar ratio
Find third proportional to 318,150 and 686,115
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.