Home / 222,138-316,587

Finding the Third Proportional to 222,138 and 316,587

Calculator

Solution

The third proportional to 222,138 and 316,587 is: 451,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138 : 316,587 = 316,587 : x
  2. Step 2: Convert to fraction form
    222,138/316,587 = 316,587/x
  3. Step 3: Cross multiply
    222,138x = 316,587 × 316,587
  4. Step 4: Simplify right side
    222,138x = 100,227,328,569
  5. Step 5: Solve for x
    x = 100,227,328,569/222,138
  6. Step 6: Final answer
    x = 451,193.98

Related Problems

Find third proportional to 111,069 and 158,293.50
Half scale
Find third proportional to 444,276 and 633,174
Double scale
Find third proportional to 222,140 and 316,590
Similar ratio
Find third proportional to 333,207 and 474,880.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.