Home / 499,084-706,174

Finding the Third Proportional to 499,084 and 706,174

Calculator

Solution

The third proportional to 499,084 and 706,174 is: 999,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,084 : 706,174 = 706,174 : x
  2. Step 2: Convert to fraction form
    499,084/706,174 = 706,174/x
  3. Step 3: Cross multiply
    499,084x = 706,174 × 706,174
  4. Step 4: Simplify right side
    499,084x = 498,681,718,276
  5. Step 5: Solve for x
    x = 498,681,718,276/499,084
  6. Step 6: Final answer
    x = 999,193.96

Related Problems

Find third proportional to 249,542 and 353,087
Half scale
Find third proportional to 998,168 and 1,412,348
Double scale
Find third proportional to 499,086 and 706,177
Similar ratio
Find third proportional to 748,626 and 1,059,261
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.