Home / 66,907-103,654

Finding the Third Proportional to 66,907 and 103,654

Calculator

Solution

The third proportional to 66,907 and 103,654 is: 160,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,907 : 103,654 = 103,654 : x
  2. Step 2: Convert to fraction form
    66,907/103,654 = 103,654/x
  3. Step 3: Cross multiply
    66,907x = 103,654 × 103,654
  4. Step 4: Simplify right side
    66,907x = 10,744,151,716
  5. Step 5: Solve for x
    x = 10,744,151,716/66,907
  6. Step 6: Final answer
    x = 160,583.37

Related Problems

Find third proportional to 33,453.50 and 51,827
Half scale
Find third proportional to 133,814 and 207,308
Double scale
Find third proportional to 66,909 and 103,657
Similar ratio
Find third proportional to 100,360.50 and 155,481
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.