Home / 296,314-470,712

Finding the Third Proportional to 296,314 and 470,712

Calculator

Solution

The third proportional to 296,314 and 470,712 is: 747,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,314 : 470,712 = 470,712 : x
  2. Step 2: Convert to fraction form
    296,314/470,712 = 470,712/x
  3. Step 3: Cross multiply
    296,314x = 470,712 × 470,712
  4. Step 4: Simplify right side
    296,314x = 221,569,786,944
  5. Step 5: Solve for x
    x = 221,569,786,944/296,314
  6. Step 6: Final answer
    x = 747,753.35

Related Problems

Find third proportional to 148,157 and 235,356
Half scale
Find third proportional to 592,628 and 941,424
Double scale
Find third proportional to 296,316 and 470,715
Similar ratio
Find third proportional to 444,471 and 706,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.