Home / 211,780-463,654

Finding the Third Proportional to 211,780 and 463,654

Calculator

Solution

The third proportional to 211,780 and 463,654 is: 1,015,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780 : 463,654 = 463,654 : x
  2. Step 2: Convert to fraction form
    211,780/463,654 = 463,654/x
  3. Step 3: Cross multiply
    211,780x = 463,654 × 463,654
  4. Step 4: Simplify right side
    211,780x = 214,975,031,716
  5. Step 5: Solve for x
    x = 214,975,031,716/211,780
  6. Step 6: Final answer
    x = 1,015,086.56

Related Problems

Find third proportional to 105,890 and 231,827
Half scale
Find third proportional to 423,560 and 927,308
Double scale
Find third proportional to 211,782 and 463,658
Similar ratio
Find third proportional to 317,670 and 695,481
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.