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Finding the Third Proportional to 219,905 and 480,295

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Solution

The third proportional to 219,905 and 480,295 is: 1,049,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,905 : 480,295 = 480,295 : x
  2. Step 2: Convert to fraction form
    219,905/480,295 = 480,295/x
  3. Step 3: Cross multiply
    219,905x = 480,295 × 480,295
  4. Step 4: Simplify right side
    219,905x = 230,683,287,025
  5. Step 5: Solve for x
    x = 230,683,287,025/219,905
  6. Step 6: Final answer
    x = 1,049,013.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.