Home / 464,557-654,220

Finding the Third Proportional to 464,557 and 654,220

Calculator

Solution

The third proportional to 464,557 and 654,220 is: 921,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,557 : 654,220 = 654,220 : x
  2. Step 2: Convert to fraction form
    464,557/654,220 = 654,220/x
  3. Step 3: Cross multiply
    464,557x = 654,220 × 654,220
  4. Step 4: Simplify right side
    464,557x = 428,003,808,400
  5. Step 5: Solve for x
    x = 428,003,808,400/464,557
  6. Step 6: Final answer
    x = 921,316.02

Related Problems

Find third proportional to 232,278.50 and 327,110
Half scale
Find third proportional to 929,114 and 1,308,440
Double scale
Find third proportional to 464,559 and 654,223
Similar ratio
Find third proportional to 696,835.50 and 981,330
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.