Home / 210,018-311,730

Finding the Third Proportional to 210,018 and 311,730

Calculator

Solution

The third proportional to 210,018 and 311,730 is: 462,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,018 : 311,730 = 311,730 : x
  2. Step 2: Convert to fraction form
    210,018/311,730 = 311,730/x
  3. Step 3: Cross multiply
    210,018x = 311,730 × 311,730
  4. Step 4: Simplify right side
    210,018x = 97,175,592,900
  5. Step 5: Solve for x
    x = 97,175,592,900/210,018
  6. Step 6: Final answer
    x = 462,701.26

Related Problems

Find third proportional to 105,009 and 155,865
Half scale
Find third proportional to 420,036 and 623,460
Double scale
Find third proportional to 210,020 and 311,733
Similar ratio
Find third proportional to 315,027 and 467,595
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.