Home / 588,309-828,456

Finding the Third Proportional to 588,309 and 828,456

Calculator

Solution

The third proportional to 588,309 and 828,456 is: 1,166,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,309 : 828,456 = 828,456 : x
  2. Step 2: Convert to fraction form
    588,309/828,456 = 828,456/x
  3. Step 3: Cross multiply
    588,309x = 828,456 × 828,456
  4. Step 4: Simplify right side
    588,309x = 686,339,343,936
  5. Step 5: Solve for x
    x = 686,339,343,936/588,309
  6. Step 6: Final answer
    x = 1,166,630.71

Related Problems

Find third proportional to 294,154.50 and 414,228
Half scale
Find third proportional to 1,176,618 and 1,656,912
Double scale
Find third proportional to 588,311 and 828,459
Similar ratio
Find third proportional to 882,463.50 and 1,242,684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.