Home / 470,384-706,640

Finding the Third Proportional to 470,384 and 706,640

Calculator

Solution

The third proportional to 470,384 and 706,640 is: 1,061,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,384 : 706,640 = 706,640 : x
  2. Step 2: Convert to fraction form
    470,384/706,640 = 706,640/x
  3. Step 3: Cross multiply
    470,384x = 706,640 × 706,640
  4. Step 4: Simplify right side
    470,384x = 499,340,089,600
  5. Step 5: Solve for x
    x = 499,340,089,600/470,384
  6. Step 6: Final answer
    x = 1,061,558.41

Related Problems

Find third proportional to 235,192 and 353,320
Half scale
Find third proportional to 940,768 and 1,413,280
Double scale
Find third proportional to 470,386 and 706,643
Similar ratio
Find third proportional to 705,576 and 1,059,960
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.