Home / 89,460-138,348

Finding the Third Proportional to 89,460 and 138,348

Calculator

Solution

The third proportional to 89,460 and 138,348 is: 213,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460 : 138,348 = 138,348 : x
  2. Step 2: Convert to fraction form
    89,460/138,348 = 138,348/x
  3. Step 3: Cross multiply
    89,460x = 138,348 × 138,348
  4. Step 4: Simplify right side
    89,460x = 19,140,169,104
  5. Step 5: Solve for x
    x = 19,140,169,104/89,460
  6. Step 6: Final answer
    x = 213,952.26

Related Problems

Find third proportional to 44,730 and 69,174
Half scale
Find third proportional to 178,920 and 276,696
Double scale
Find third proportional to 89,462 and 138,351
Similar ratio
Find third proportional to 134,190 and 207,522
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.