Home / 147,214-319,322

Finding the Third Proportional to 147,214 and 319,322

Calculator

Solution

The third proportional to 147,214 and 319,322 is: 692,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,214 : 319,322 = 319,322 : x
  2. Step 2: Convert to fraction form
    147,214/319,322 = 319,322/x
  3. Step 3: Cross multiply
    147,214x = 319,322 × 319,322
  4. Step 4: Simplify right side
    147,214x = 101,966,539,684
  5. Step 5: Solve for x
    x = 101,966,539,684/147,214
  6. Step 6: Final answer
    x = 692,641.59

Related Problems

Find third proportional to 73,607 and 159,661
Half scale
Find third proportional to 294,428 and 638,644
Double scale
Find third proportional to 147,216 and 319,326
Similar ratio
Find third proportional to 220,821 and 478,983
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.