Home / 314,580-678,984

Finding the Third Proportional to 314,580 and 678,984

Calculator

Solution

The third proportional to 314,580 and 678,984 is: 1,465,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,580 : 678,984 = 678,984 : x
  2. Step 2: Convert to fraction form
    314,580/678,984 = 678,984/x
  3. Step 3: Cross multiply
    314,580x = 678,984 × 678,984
  4. Step 4: Simplify right side
    314,580x = 461,019,272,256
  5. Step 5: Solve for x
    x = 461,019,272,256/314,580
  6. Step 6: Final answer
    x = 1,465,507.25

Related Problems

Find third proportional to 157,290 and 339,492
Half scale
Find third proportional to 629,160 and 1,357,968
Double scale
Find third proportional to 314,582 and 678,988
Similar ratio
Find third proportional to 471,870 and 1,018,476
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.