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Finding the Third Proportional to 219,048 and 313,020

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Solution

The third proportional to 219,048 and 313,020 is: 447,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,048 : 313,020 = 313,020 : x
  2. Step 2: Convert to fraction form
    219,048/313,020 = 313,020/x
  3. Step 3: Cross multiply
    219,048x = 313,020 × 313,020
  4. Step 4: Simplify right side
    219,048x = 97,981,520,400
  5. Step 5: Solve for x
    x = 97,981,520,400/219,048
  6. Step 6: Final answer
    x = 447,306.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.