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Finding the Third Proportional to 272,994 and 421,155

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Solution

The third proportional to 272,994 and 421,155 is: 649,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994 : 421,155 = 421,155 : x
  2. Step 2: Convert to fraction form
    272,994/421,155 = 421,155/x
  3. Step 3: Cross multiply
    272,994x = 421,155 × 421,155
  4. Step 4: Simplify right side
    272,994x = 177,371,534,025
  5. Step 5: Solve for x
    x = 177,371,534,025/272,994
  6. Step 6: Final answer
    x = 649,726.86

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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.