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Finding the Third Proportional to 304,302 and 617,820

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Solution

The third proportional to 304,302 and 617,820 is: 1,254,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,302 : 617,820 = 617,820 : x
  2. Step 2: Convert to fraction form
    304,302/617,820 = 617,820/x
  3. Step 3: Cross multiply
    304,302x = 617,820 × 617,820
  4. Step 4: Simplify right side
    304,302x = 381,701,552,400
  5. Step 5: Solve for x
    x = 381,701,552,400/304,302
  6. Step 6: Final answer
    x = 1,254,351.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.