Home / 229,307-347,421

Finding the Third Proportional to 229,307 and 347,421

Calculator

Solution

The third proportional to 229,307 and 347,421 is: 526,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,307 : 347,421 = 347,421 : x
  2. Step 2: Convert to fraction form
    229,307/347,421 = 347,421/x
  3. Step 3: Cross multiply
    229,307x = 347,421 × 347,421
  4. Step 4: Simplify right side
    229,307x = 120,701,351,241
  5. Step 5: Solve for x
    x = 120,701,351,241/229,307
  6. Step 6: Final answer
    x = 526,374.47

Related Problems

Find third proportional to 114,653.50 and 173,710.50
Half scale
Find third proportional to 458,614 and 694,842
Double scale
Find third proportional to 229,309 and 347,424
Similar ratio
Find third proportional to 343,960.50 and 521,131.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.