Home / 281,772-412,290

Finding the Third Proportional to 281,772 and 412,290

Calculator

Solution

The third proportional to 281,772 and 412,290 is: 603,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,772 : 412,290 = 412,290 : x
  2. Step 2: Convert to fraction form
    281,772/412,290 = 412,290/x
  3. Step 3: Cross multiply
    281,772x = 412,290 × 412,290
  4. Step 4: Simplify right side
    281,772x = 169,983,044,100
  5. Step 5: Solve for x
    x = 169,983,044,100/281,772
  6. Step 6: Final answer
    x = 603,264.50

Related Problems

Find third proportional to 140,886 and 206,145
Half scale
Find third proportional to 563,544 and 824,580
Double scale
Find third proportional to 281,774 and 412,293
Similar ratio
Find third proportional to 422,658 and 618,435
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.