Home / 261,382-384,417

Finding the Third Proportional to 261,382 and 384,417

Calculator

Solution

The third proportional to 261,382 and 384,417 is: 565,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,382 : 384,417 = 384,417 : x
  2. Step 2: Convert to fraction form
    261,382/384,417 = 384,417/x
  3. Step 3: Cross multiply
    261,382x = 384,417 × 384,417
  4. Step 4: Simplify right side
    261,382x = 147,776,429,889
  5. Step 5: Solve for x
    x = 147,776,429,889/261,382
  6. Step 6: Final answer
    x = 565,365.75

Related Problems

Find third proportional to 130,691 and 192,208.50
Half scale
Find third proportional to 522,764 and 768,834
Double scale
Find third proportional to 261,384 and 384,420
Similar ratio
Find third proportional to 392,073 and 576,625.50
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.