Home / 201,232-415,424

Finding the Third Proportional to 201,232 and 415,424

Calculator

Solution

The third proportional to 201,232 and 415,424 is: 857,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232 : 415,424 = 415,424 : x
  2. Step 2: Convert to fraction form
    201,232/415,424 = 415,424/x
  3. Step 3: Cross multiply
    201,232x = 415,424 × 415,424
  4. Step 4: Simplify right side
    201,232x = 172,577,099,776
  5. Step 5: Solve for x
    x = 172,577,099,776/201,232
  6. Step 6: Final answer
    x = 857,602.67

Related Problems

Find third proportional to 100,616 and 207,712
Half scale
Find third proportional to 402,464 and 830,848
Double scale
Find third proportional to 201,234 and 415,428
Similar ratio
Find third proportional to 301,848 and 623,136
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.