Home / 421,140-921,012

Finding the Third Proportional to 421,140 and 921,012

Calculator

Solution

The third proportional to 421,140 and 921,012 is: 2,014,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,140 : 921,012 = 921,012 : x
  2. Step 2: Convert to fraction form
    421,140/921,012 = 921,012/x
  3. Step 3: Cross multiply
    421,140x = 921,012 × 921,012
  4. Step 4: Simplify right side
    421,140x = 848,263,104,144
  5. Step 5: Solve for x
    x = 848,263,104,144/421,140
  6. Step 6: Final answer
    x = 2,014,206.92

Related Problems

Find third proportional to 210,570 and 460,506
Half scale
Find third proportional to 842,280 and 1,842,024
Double scale
Find third proportional to 421,142 and 921,016
Similar ratio
Find third proportional to 631,710 and 1,381,518
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.