Home / 285,924-420,565.50

Finding the Third Proportional to 285,924 and 420,565.50

Calculator

Solution

The third proportional to 285,924 and 420,565.50 is: 618,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,924 : 420,565.50 = 420,565.50 : x
  2. Step 2: Convert to fraction form
    285,924/420,565.50 = 420,565.50/x
  3. Step 3: Cross multiply
    285,924x = 420,565.50 × 420,565.50
  4. Step 4: Simplify right side
    285,924x = 176,875,339,790.25
  5. Step 5: Solve for x
    x = 176,875,339,790.25/285,924
  6. Step 6: Final answer
    x = 618,609.63

Related Problems

Find third proportional to 142,962 and 210,282.75
Half scale
Find third proportional to 571,848 and 841,131
Double scale
Find third proportional to 285,926 and 420,568
Similar ratio
Find third proportional to 428,886 and 630,848.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.