Home / 213,684-457,014

Finding the Third Proportional to 213,684 and 457,014

Calculator

Solution

The third proportional to 213,684 and 457,014 is: 977,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,684 : 457,014 = 457,014 : x
  2. Step 2: Convert to fraction form
    213,684/457,014 = 457,014/x
  3. Step 3: Cross multiply
    213,684x = 457,014 × 457,014
  4. Step 4: Simplify right side
    213,684x = 208,861,796,196
  5. Step 5: Solve for x
    x = 208,861,796,196/213,684
  6. Step 6: Final answer
    x = 977,433.01

Related Problems

Find third proportional to 106,842 and 228,507
Half scale
Find third proportional to 427,368 and 914,028
Double scale
Find third proportional to 213,686 and 457,018
Similar ratio
Find third proportional to 320,526 and 685,521
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.