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Finding the Third Proportional to 227,415 and 355,680

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Solution

The third proportional to 227,415 and 355,680 is: 556,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,415 : 355,680 = 355,680 : x
  2. Step 2: Convert to fraction form
    227,415/355,680 = 355,680/x
  3. Step 3: Cross multiply
    227,415x = 355,680 × 355,680
  4. Step 4: Simplify right side
    227,415x = 126,508,262,400
  5. Step 5: Solve for x
    x = 126,508,262,400/227,415
  6. Step 6: Final answer
    x = 556,288.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.