Home / 61,614-133,065

Finding the Third Proportional to 61,614 and 133,065

Calculator

Solution

The third proportional to 61,614 and 133,065 is: 287,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 133,065 = 133,065 : x
  2. Step 2: Convert to fraction form
    61,614/133,065 = 133,065/x
  3. Step 3: Cross multiply
    61,614x = 133,065 × 133,065
  4. Step 4: Simplify right side
    61,614x = 17,706,294,225
  5. Step 5: Solve for x
    x = 17,706,294,225/61,614
  6. Step 6: Final answer
    x = 287,374.53

Related Problems

Find third proportional to 30,807 and 66,532.50
Half scale
Find third proportional to 123,228 and 266,130
Double scale
Find third proportional to 61,616 and 133,069
Similar ratio
Find third proportional to 92,421 and 199,597.50
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.