Home / 106,688-232,576

Finding the Third Proportional to 106,688 and 232,576

Calculator

Solution

The third proportional to 106,688 and 232,576 is: 507,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688 : 232,576 = 232,576 : x
  2. Step 2: Convert to fraction form
    106,688/232,576 = 232,576/x
  3. Step 3: Cross multiply
    106,688x = 232,576 × 232,576
  4. Step 4: Simplify right side
    106,688x = 54,091,595,776
  5. Step 5: Solve for x
    x = 54,091,595,776/106,688
  6. Step 6: Final answer
    x = 507,007.31

Related Problems

Find third proportional to 53,344 and 116,288
Half scale
Find third proportional to 213,376 and 465,152
Double scale
Find third proportional to 106,690 and 232,580
Similar ratio
Find third proportional to 160,032 and 348,864
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.