Home / 102,123-209,430

Finding the Third Proportional to 102,123 and 209,430

Calculator

Solution

The third proportional to 102,123 and 209,430 is: 429,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123 : 209,430 = 209,430 : x
  2. Step 2: Convert to fraction form
    102,123/209,430 = 209,430/x
  3. Step 3: Cross multiply
    102,123x = 209,430 × 209,430
  4. Step 4: Simplify right side
    102,123x = 43,860,924,900
  5. Step 5: Solve for x
    x = 43,860,924,900/102,123
  6. Step 6: Final answer
    x = 429,491.15

Related Problems

Find third proportional to 51,061.50 and 104,715
Half scale
Find third proportional to 204,246 and 418,860
Double scale
Find third proportional to 102,125 and 209,434
Similar ratio
Find third proportional to 153,184.50 and 314,145
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.