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Finding the Third Proportional to 225,515 and 495,670

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Solution

The third proportional to 225,515 and 495,670 is: 1,089,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,515 : 495,670 = 495,670 : x
  2. Step 2: Convert to fraction form
    225,515/495,670 = 495,670/x
  3. Step 3: Cross multiply
    225,515x = 495,670 × 495,670
  4. Step 4: Simplify right side
    225,515x = 245,688,748,900
  5. Step 5: Solve for x
    x = 245,688,748,900/225,515
  6. Step 6: Final answer
    x = 1,089,456.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.