Home / 212,969-470,221

Finding the Third Proportional to 212,969 and 470,221

Calculator

Solution

The third proportional to 212,969 and 470,221 is: 1,038,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,969 : 470,221 = 470,221 : x
  2. Step 2: Convert to fraction form
    212,969/470,221 = 470,221/x
  3. Step 3: Cross multiply
    212,969x = 470,221 × 470,221
  4. Step 4: Simplify right side
    212,969x = 221,107,788,841
  5. Step 5: Solve for x
    x = 221,107,788,841/212,969
  6. Step 6: Final answer
    x = 1,038,215.84

Related Problems

Find third proportional to 106,484.50 and 235,110.50
Half scale
Find third proportional to 425,938 and 940,442
Double scale
Find third proportional to 212,971 and 470,225
Similar ratio
Find third proportional to 319,453.50 and 705,331.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.