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Finding the Third Proportional to 308,484 and 673,020

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Solution

The third proportional to 308,484 and 673,020 is: 1,468,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,484 : 673,020 = 673,020 : x
  2. Step 2: Convert to fraction form
    308,484/673,020 = 673,020/x
  3. Step 3: Cross multiply
    308,484x = 673,020 × 673,020
  4. Step 4: Simplify right side
    308,484x = 452,955,920,400
  5. Step 5: Solve for x
    x = 452,955,920,400/308,484
  6. Step 6: Final answer
    x = 1,468,328.73

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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.