Home / 51,010-120,613

Finding the Third Proportional to 51,010 and 120,613

Calculator

Solution

The third proportional to 51,010 and 120,613 is: 285,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010 : 120,613 = 120,613 : x
  2. Step 2: Convert to fraction form
    51,010/120,613 = 120,613/x
  3. Step 3: Cross multiply
    51,010x = 120,613 × 120,613
  4. Step 4: Simplify right side
    51,010x = 14,547,495,769
  5. Step 5: Solve for x
    x = 14,547,495,769/51,010
  6. Step 6: Final answer
    x = 285,189.10

Related Problems

Find third proportional to 25,505 and 60,306.50
Half scale
Find third proportional to 102,020 and 241,226
Double scale
Find third proportional to 51,012 and 120,618
Similar ratio
Find third proportional to 76,515 and 180,919.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.