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Finding the Third Proportional to 285,905 and 621,610

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Solution

The third proportional to 285,905 and 621,610 is: 1,351,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,905 : 621,610 = 621,610 : x
  2. Step 2: Convert to fraction form
    285,905/621,610 = 621,610/x
  3. Step 3: Cross multiply
    285,905x = 621,610 × 621,610
  4. Step 4: Simplify right side
    285,905x = 386,398,992,100
  5. Step 5: Solve for x
    x = 386,398,992,100/285,905
  6. Step 6: Final answer
    x = 1,351,494.35

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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.