Home / 138,208.50-286,257

Finding the Third Proportional to 138,208.50 and 286,257

Calculator

Solution

The third proportional to 138,208.50 and 286,257 is: 592,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,208.50 : 286,257 = 286,257 : x
  2. Step 2: Convert to fraction form
    138,208.50/286,257 = 286,257/x
  3. Step 3: Cross multiply
    138,208.50x = 286,257 × 286,257
  4. Step 4: Simplify right side
    138,208.50x = 81,943,070,049
  5. Step 5: Solve for x
    x = 81,943,070,049/138,208.50
  6. Step 6: Final answer
    x = 592,894.58

Related Problems

Find third proportional to 69,104.25 and 143,128.50
Half scale
Find third proportional to 276,417 and 572,514
Double scale
Find third proportional to 138,211 and 286,261
Similar ratio
Find third proportional to 207,312.75 and 429,385.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.