Home / 286,095-420,384

Finding the Third Proportional to 286,095 and 420,384

Calculator

Solution

The third proportional to 286,095 and 420,384 is: 617,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095 : 420,384 = 420,384 : x
  2. Step 2: Convert to fraction form
    286,095/420,384 = 420,384/x
  3. Step 3: Cross multiply
    286,095x = 420,384 × 420,384
  4. Step 4: Simplify right side
    286,095x = 176,722,707,456
  5. Step 5: Solve for x
    x = 176,722,707,456/286,095
  6. Step 6: Final answer
    x = 617,706.38

Related Problems

Find third proportional to 143,047.50 and 210,192
Half scale
Find third proportional to 572,190 and 840,768
Double scale
Find third proportional to 286,097 and 420,387
Similar ratio
Find third proportional to 429,142.50 and 630,576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.