Home / 316,442-422,709

Finding the Third Proportional to 316,442 and 422,709

Calculator

Solution

The third proportional to 316,442 and 422,709 is: 564,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,442 : 422,709 = 422,709 : x
  2. Step 2: Convert to fraction form
    316,442/422,709 = 422,709/x
  3. Step 3: Cross multiply
    316,442x = 422,709 × 422,709
  4. Step 4: Simplify right side
    316,442x = 178,682,898,681
  5. Step 5: Solve for x
    x = 178,682,898,681/316,442
  6. Step 6: Final answer
    x = 564,662.40

Related Problems

Find third proportional to 158,221 and 211,354.50
Half scale
Find third proportional to 632,884 and 845,418
Double scale
Find third proportional to 316,444 and 422,712
Similar ratio
Find third proportional to 474,663 and 634,063.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.