Home / 51,460-77,312

Finding the Third Proportional to 51,460 and 77,312

Calculator

Solution

The third proportional to 51,460 and 77,312 is: 116,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460 : 77,312 = 77,312 : x
  2. Step 2: Convert to fraction form
    51,460/77,312 = 77,312/x
  3. Step 3: Cross multiply
    51,460x = 77,312 × 77,312
  4. Step 4: Simplify right side
    51,460x = 5,977,145,344
  5. Step 5: Solve for x
    x = 5,977,145,344/51,460
  6. Step 6: Final answer
    x = 116,151.29

Related Problems

Find third proportional to 25,730 and 38,656
Half scale
Find third proportional to 102,920 and 154,624
Double scale
Find third proportional to 51,462 and 77,315
Similar ratio
Find third proportional to 77,190 and 115,968
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.