Home / 420,638-917,406

Finding the Third Proportional to 420,638 and 917,406

Calculator

Solution

The third proportional to 420,638 and 917,406 is: 2,000,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,638 : 917,406 = 917,406 : x
  2. Step 2: Convert to fraction form
    420,638/917,406 = 917,406/x
  3. Step 3: Cross multiply
    420,638x = 917,406 × 917,406
  4. Step 4: Simplify right side
    420,638x = 841,633,768,836
  5. Step 5: Solve for x
    x = 841,633,768,836/420,638
  6. Step 6: Final answer
    x = 2,000,850.54

Related Problems

Find third proportional to 210,319 and 458,703
Half scale
Find third proportional to 841,276 and 1,834,812
Double scale
Find third proportional to 420,640 and 917,410
Similar ratio
Find third proportional to 630,957 and 1,376,109
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.