Home / 310,746-470,319

Finding the Third Proportional to 310,746 and 470,319

Calculator

Solution

The third proportional to 310,746 and 470,319 is: 711,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,746 : 470,319 = 470,319 : x
  2. Step 2: Convert to fraction form
    310,746/470,319 = 470,319/x
  3. Step 3: Cross multiply
    310,746x = 470,319 × 470,319
  4. Step 4: Simplify right side
    310,746x = 221,199,961,761
  5. Step 5: Solve for x
    x = 221,199,961,761/310,746
  6. Step 6: Final answer
    x = 711,835.27

Related Problems

Find third proportional to 155,373 and 235,159.50
Half scale
Find third proportional to 621,492 and 940,638
Double scale
Find third proportional to 310,748 and 470,322
Similar ratio
Find third proportional to 466,119 and 705,478.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.