Home / 216,461-316,312

Finding the Third Proportional to 216,461 and 316,312

Calculator

Solution

The third proportional to 216,461 and 316,312 is: 462,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,461 : 316,312 = 316,312 : x
  2. Step 2: Convert to fraction form
    216,461/316,312 = 316,312/x
  3. Step 3: Cross multiply
    216,461x = 316,312 × 316,312
  4. Step 4: Simplify right side
    216,461x = 100,053,281,344
  5. Step 5: Solve for x
    x = 100,053,281,344/216,461
  6. Step 6: Final answer
    x = 462,223.13

Related Problems

Find third proportional to 108,230.50 and 158,156
Half scale
Find third proportional to 432,922 and 632,624
Double scale
Find third proportional to 216,463 and 316,315
Similar ratio
Find third proportional to 324,691.50 and 474,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.