Home / 133,069-287,459

Finding the Third Proportional to 133,069 and 287,459

Calculator

Solution

The third proportional to 133,069 and 287,459 is: 620,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069 : 287,459 = 287,459 : x
  2. Step 2: Convert to fraction form
    133,069/287,459 = 287,459/x
  3. Step 3: Cross multiply
    133,069x = 287,459 × 287,459
  4. Step 4: Simplify right side
    133,069x = 82,632,676,681
  5. Step 5: Solve for x
    x = 82,632,676,681/133,069
  6. Step 6: Final answer
    x = 620,976.16

Related Problems

Find third proportional to 66,534.50 and 143,729.50
Half scale
Find third proportional to 266,138 and 574,918
Double scale
Find third proportional to 133,071 and 287,463
Similar ratio
Find third proportional to 199,603.50 and 431,188.50
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.