Home / 103,010-217,090

Finding the Third Proportional to 103,010 and 217,090

Calculator

Solution

The third proportional to 103,010 and 217,090 is: 457,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,010 : 217,090 = 217,090 : x
  2. Step 2: Convert to fraction form
    103,010/217,090 = 217,090/x
  3. Step 3: Cross multiply
    103,010x = 217,090 × 217,090
  4. Step 4: Simplify right side
    103,010x = 47,128,068,100
  5. Step 5: Solve for x
    x = 47,128,068,100/103,010
  6. Step 6: Final answer
    x = 457,509.64

Related Problems

Find third proportional to 51,505 and 108,545
Half scale
Find third proportional to 206,020 and 434,180
Double scale
Find third proportional to 103,012 and 217,094
Similar ratio
Find third proportional to 154,515 and 325,635
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.