Home / 66,964-101,309

Finding the Third Proportional to 66,964 and 101,309

Calculator

Solution

The third proportional to 66,964 and 101,309 is: 153,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964 : 101,309 = 101,309 : x
  2. Step 2: Convert to fraction form
    66,964/101,309 = 101,309/x
  3. Step 3: Cross multiply
    66,964x = 101,309 × 101,309
  4. Step 4: Simplify right side
    66,964x = 10,263,513,481
  5. Step 5: Solve for x
    x = 10,263,513,481/66,964
  6. Step 6: Final answer
    x = 153,269.12

Related Problems

Find third proportional to 33,482 and 50,654.50
Half scale
Find third proportional to 133,928 and 202,618
Double scale
Find third proportional to 66,966 and 101,312
Similar ratio
Find third proportional to 100,446 and 151,963.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.