Home / 231,698-507,724

Finding the Third Proportional to 231,698 and 507,724

Calculator

Solution

The third proportional to 231,698 and 507,724 is: 1,112,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698 : 507,724 = 507,724 : x
  2. Step 2: Convert to fraction form
    231,698/507,724 = 507,724/x
  3. Step 3: Cross multiply
    231,698x = 507,724 × 507,724
  4. Step 4: Simplify right side
    231,698x = 257,783,660,176
  5. Step 5: Solve for x
    x = 257,783,660,176/231,698
  6. Step 6: Final answer
    x = 1,112,584.74

Related Problems

Find third proportional to 115,849 and 253,862
Half scale
Find third proportional to 463,396 and 1,015,448
Double scale
Find third proportional to 231,700 and 507,728
Similar ratio
Find third proportional to 347,547 and 761,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.