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Finding the Third Proportional to 285,186 and 619,637

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Solution

The third proportional to 285,186 and 619,637 is: 1,346,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,186 : 619,637 = 619,637 : x
  2. Step 2: Convert to fraction form
    285,186/619,637 = 619,637/x
  3. Step 3: Cross multiply
    285,186x = 619,637 × 619,637
  4. Step 4: Simplify right side
    285,186x = 383,950,011,769
  5. Step 5: Solve for x
    x = 383,950,011,769/285,186
  6. Step 6: Final answer
    x = 1,346,314.38

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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.