Home / 309,282-473,907

Finding the Third Proportional to 309,282 and 473,907

Calculator

Solution

The third proportional to 309,282 and 473,907 is: 726,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,282 : 473,907 = 473,907 : x
  2. Step 2: Convert to fraction form
    309,282/473,907 = 473,907/x
  3. Step 3: Cross multiply
    309,282x = 473,907 × 473,907
  4. Step 4: Simplify right side
    309,282x = 224,587,844,649
  5. Step 5: Solve for x
    x = 224,587,844,649/309,282
  6. Step 6: Final answer
    x = 726,158.80

Related Problems

Find third proportional to 154,641 and 236,953.50
Half scale
Find third proportional to 618,564 and 947,814
Double scale
Find third proportional to 309,284 and 473,910
Similar ratio
Find third proportional to 463,923 and 710,860.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.