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Finding the Third Proportional to 210,624 and 273,240

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Solution

The third proportional to 210,624 and 273,240 is: 354,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,624 : 273,240 = 273,240 : x
  2. Step 2: Convert to fraction form
    210,624/273,240 = 273,240/x
  3. Step 3: Cross multiply
    210,624x = 273,240 × 273,240
  4. Step 4: Simplify right side
    210,624x = 74,660,097,600
  5. Step 5: Solve for x
    x = 74,660,097,600/210,624
  6. Step 6: Final answer
    x = 354,470.99

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.