Home / 213,780-461,808

Finding the Third Proportional to 213,780 and 461,808

Calculator

Solution

The third proportional to 213,780 and 461,808 is: 997,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,780 : 461,808 = 461,808 : x
  2. Step 2: Convert to fraction form
    213,780/461,808 = 461,808/x
  3. Step 3: Cross multiply
    213,780x = 461,808 × 461,808
  4. Step 4: Simplify right side
    213,780x = 213,266,628,864
  5. Step 5: Solve for x
    x = 213,266,628,864/213,780
  6. Step 6: Final answer
    x = 997,598.60

Related Problems

Find third proportional to 106,890 and 230,904
Half scale
Find third proportional to 427,560 and 923,616
Double scale
Find third proportional to 213,782 and 461,812
Similar ratio
Find third proportional to 320,670 and 692,712
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.