Home / 381,056-561,057

Finding the Third Proportional to 381,056 and 561,057

Calculator

Solution

The third proportional to 381,056 and 561,057 is: 826,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,056 : 561,057 = 561,057 : x
  2. Step 2: Convert to fraction form
    381,056/561,057 = 561,057/x
  3. Step 3: Cross multiply
    381,056x = 561,057 × 561,057
  4. Step 4: Simplify right side
    381,056x = 314,784,957,249
  5. Step 5: Solve for x
    x = 314,784,957,249/381,056
  6. Step 6: Final answer
    x = 826,085.82

Related Problems

Find third proportional to 190,528 and 280,528.50
Half scale
Find third proportional to 762,112 and 1,122,114
Double scale
Find third proportional to 381,058 and 561,060
Similar ratio
Find third proportional to 571,584 and 841,585.50
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.