Home / 415,466-678,352

Finding the Third Proportional to 415,466 and 678,352

Calculator

Solution

The third proportional to 415,466 and 678,352 is: 1,107,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,466 : 678,352 = 678,352 : x
  2. Step 2: Convert to fraction form
    415,466/678,352 = 678,352/x
  3. Step 3: Cross multiply
    415,466x = 678,352 × 678,352
  4. Step 4: Simplify right side
    415,466x = 460,161,435,904
  5. Step 5: Solve for x
    x = 460,161,435,904/415,466
  6. Step 6: Final answer
    x = 1,107,579.05

Related Problems

Find third proportional to 207,733 and 339,176
Half scale
Find third proportional to 830,932 and 1,356,704
Double scale
Find third proportional to 415,468 and 678,355
Similar ratio
Find third proportional to 623,199 and 1,017,528
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.