Home / 489,470-689,283

Finding the Third Proportional to 489,470 and 689,283

Calculator

Solution

The third proportional to 489,470 and 689,283 is: 970,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,470 : 689,283 = 689,283 : x
  2. Step 2: Convert to fraction form
    489,470/689,283 = 689,283/x
  3. Step 3: Cross multiply
    489,470x = 689,283 × 689,283
  4. Step 4: Simplify right side
    489,470x = 475,111,054,089
  5. Step 5: Solve for x
    x = 475,111,054,089/489,470
  6. Step 6: Final answer
    x = 970,664.30

Related Problems

Find third proportional to 244,735 and 344,641.50
Half scale
Find third proportional to 978,940 and 1,378,566
Double scale
Find third proportional to 489,472 and 689,286
Similar ratio
Find third proportional to 734,205 and 1,033,924.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.