Home / 277,022-406,299

Finding the Third Proportional to 277,022 and 406,299

Calculator

Solution

The third proportional to 277,022 and 406,299 is: 595,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,022 : 406,299 = 406,299 : x
  2. Step 2: Convert to fraction form
    277,022/406,299 = 406,299/x
  3. Step 3: Cross multiply
    277,022x = 406,299 × 406,299
  4. Step 4: Simplify right side
    277,022x = 165,078,877,401
  5. Step 5: Solve for x
    x = 165,078,877,401/277,022
  6. Step 6: Final answer
    x = 595,905.30

Related Problems

Find third proportional to 138,511 and 203,149.50
Half scale
Find third proportional to 554,044 and 812,598
Double scale
Find third proportional to 277,024 and 406,302
Similar ratio
Find third proportional to 415,533 and 609,448.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.