Home / 212,054-462,213

Finding the Third Proportional to 212,054 and 462,213

Calculator

Solution

The third proportional to 212,054 and 462,213 is: 1,007,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,054 : 462,213 = 462,213 : x
  2. Step 2: Convert to fraction form
    212,054/462,213 = 462,213/x
  3. Step 3: Cross multiply
    212,054x = 462,213 × 462,213
  4. Step 4: Simplify right side
    212,054x = 213,640,857,369
  5. Step 5: Solve for x
    x = 213,640,857,369/212,054
  6. Step 6: Final answer
    x = 1,007,483.27

Related Problems

Find third proportional to 106,027 and 231,106.50
Half scale
Find third proportional to 424,108 and 924,426
Double scale
Find third proportional to 212,056 and 462,217
Similar ratio
Find third proportional to 318,081 and 693,319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.