Home / 387,462-523,332

Finding the Third Proportional to 387,462 and 523,332

Calculator

Solution

The third proportional to 387,462 and 523,332 is: 706,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,462 : 523,332 = 523,332 : x
  2. Step 2: Convert to fraction form
    387,462/523,332 = 523,332/x
  3. Step 3: Cross multiply
    387,462x = 523,332 × 523,332
  4. Step 4: Simplify right side
    387,462x = 273,876,382,224
  5. Step 5: Solve for x
    x = 273,876,382,224/387,462
  6. Step 6: Final answer
    x = 706,847.08

Related Problems

Find third proportional to 193,731 and 261,666
Half scale
Find third proportional to 774,924 and 1,046,664
Double scale
Find third proportional to 387,464 and 523,335
Similar ratio
Find third proportional to 581,193 and 784,998
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.