Home / 141,564-206,502

Finding the Third Proportional to 141,564 and 206,502

Calculator

Solution

The third proportional to 141,564 and 206,502 is: 301,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,564 : 206,502 = 206,502 : x
  2. Step 2: Convert to fraction form
    141,564/206,502 = 206,502/x
  3. Step 3: Cross multiply
    141,564x = 206,502 × 206,502
  4. Step 4: Simplify right side
    141,564x = 42,643,076,004
  5. Step 5: Solve for x
    x = 42,643,076,004/141,564
  6. Step 6: Final answer
    x = 301,228.25

Related Problems

Find third proportional to 70,782 and 103,251
Half scale
Find third proportional to 283,128 and 413,004
Double scale
Find third proportional to 141,566 and 206,505
Similar ratio
Find third proportional to 212,346 and 309,753
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.