Home / 470,412-706,678

Finding the Third Proportional to 470,412 and 706,678

Calculator

Solution

The third proportional to 470,412 and 706,678 is: 1,061,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,412 : 706,678 = 706,678 : x
  2. Step 2: Convert to fraction form
    470,412/706,678 = 706,678/x
  3. Step 3: Cross multiply
    470,412x = 706,678 × 706,678
  4. Step 4: Simplify right side
    470,412x = 499,393,795,684
  5. Step 5: Solve for x
    x = 499,393,795,684/470,412
  6. Step 6: Final answer
    x = 1,061,609.39

Related Problems

Find third proportional to 235,206 and 353,339
Half scale
Find third proportional to 940,824 and 1,413,356
Double scale
Find third proportional to 470,414 and 706,681
Similar ratio
Find third proportional to 705,618 and 1,060,017
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.