Home / 272,004-420,138

Finding the Third Proportional to 272,004 and 420,138

Calculator

Solution

The third proportional to 272,004 and 420,138 is: 648,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004 : 420,138 = 420,138 : x
  2. Step 2: Convert to fraction form
    272,004/420,138 = 420,138/x
  3. Step 3: Cross multiply
    272,004x = 420,138 × 420,138
  4. Step 4: Simplify right side
    272,004x = 176,515,939,044
  5. Step 5: Solve for x
    x = 176,515,939,044/272,004
  6. Step 6: Final answer
    x = 648,946.11

Related Problems

Find third proportional to 136,002 and 210,069
Half scale
Find third proportional to 544,008 and 840,276
Double scale
Find third proportional to 272,006 and 420,141
Similar ratio
Find third proportional to 408,006 and 630,207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.