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Finding the Third Proportional to 285,906 and 621,612

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Solution

The third proportional to 285,906 and 621,612 is: 1,351,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906 : 621,612 = 621,612 : x
  2. Step 2: Convert to fraction form
    285,906/621,612 = 621,612/x
  3. Step 3: Cross multiply
    285,906x = 621,612 × 621,612
  4. Step 4: Simplify right side
    285,906x = 386,401,478,544
  5. Step 5: Solve for x
    x = 386,401,478,544/285,906
  6. Step 6: Final answer
    x = 1,351,498.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.