Home / 502,584-777,216

Finding the Third Proportional to 502,584 and 777,216

Calculator

Solution

The third proportional to 502,584 and 777,216 is: 1,201,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,584 : 777,216 = 777,216 : x
  2. Step 2: Convert to fraction form
    502,584/777,216 = 777,216/x
  3. Step 3: Cross multiply
    502,584x = 777,216 × 777,216
  4. Step 4: Simplify right side
    502,584x = 604,064,710,656
  5. Step 5: Solve for x
    x = 604,064,710,656/502,584
  6. Step 6: Final answer
    x = 1,201,917.91

Related Problems

Find third proportional to 251,292 and 388,608
Half scale
Find third proportional to 1,005,168 and 1,554,432
Double scale
Find third proportional to 502,586 and 777,219
Similar ratio
Find third proportional to 753,876 and 1,165,824
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.