Home / 210,769-316,160

Finding the Third Proportional to 210,769 and 316,160

Calculator

Solution

The third proportional to 210,769 and 316,160 is: 474,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,769 : 316,160 = 316,160 : x
  2. Step 2: Convert to fraction form
    210,769/316,160 = 316,160/x
  3. Step 3: Cross multiply
    210,769x = 316,160 × 316,160
  4. Step 4: Simplify right side
    210,769x = 99,957,145,600
  5. Step 5: Solve for x
    x = 99,957,145,600/210,769
  6. Step 6: Final answer
    x = 474,249.75

Related Problems

Find third proportional to 105,384.50 and 158,080
Half scale
Find third proportional to 421,538 and 632,320
Double scale
Find third proportional to 210,771 and 316,163
Similar ratio
Find third proportional to 316,153.50 and 474,240
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.