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Finding the Third Proportional to 385,566 and 817,788

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Solution

The third proportional to 385,566 and 817,788 is: 1,734,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,566 : 817,788 = 817,788 : x
  2. Step 2: Convert to fraction form
    385,566/817,788 = 817,788/x
  3. Step 3: Cross multiply
    385,566x = 817,788 × 817,788
  4. Step 4: Simplify right side
    385,566x = 668,777,212,944
  5. Step 5: Solve for x
    x = 668,777,212,944/385,566
  6. Step 6: Final answer
    x = 1,734,533.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.