Home / 278,616-420,516

Finding the Third Proportional to 278,616 and 420,516

Calculator

Solution

The third proportional to 278,616 and 420,516 is: 634,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,616 : 420,516 = 420,516 : x
  2. Step 2: Convert to fraction form
    278,616/420,516 = 420,516/x
  3. Step 3: Cross multiply
    278,616x = 420,516 × 420,516
  4. Step 4: Simplify right side
    278,616x = 176,833,706,256
  5. Step 5: Solve for x
    x = 176,833,706,256/278,616
  6. Step 6: Final answer
    x = 634,686.11

Related Problems

Find third proportional to 139,308 and 210,258
Half scale
Find third proportional to 557,232 and 841,032
Double scale
Find third proportional to 278,618 and 420,519
Similar ratio
Find third proportional to 417,924 and 630,774
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.