Home / 489,309-689,058

Finding the Third Proportional to 489,309 and 689,058

Calculator

Solution

The third proportional to 489,309 and 689,058 is: 970,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,309 : 689,058 = 689,058 : x
  2. Step 2: Convert to fraction form
    489,309/689,058 = 689,058/x
  3. Step 3: Cross multiply
    489,309x = 689,058 × 689,058
  4. Step 4: Simplify right side
    489,309x = 474,800,927,364
  5. Step 5: Solve for x
    x = 474,800,927,364/489,309
  6. Step 6: Final answer
    x = 970,349.88

Related Problems

Find third proportional to 244,654.50 and 344,529
Half scale
Find third proportional to 978,618 and 1,378,116
Double scale
Find third proportional to 489,311 and 689,061
Similar ratio
Find third proportional to 733,963.50 and 1,033,587
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.