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Finding the Third Proportional to 385,570 and 817,796

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Solution

The third proportional to 385,570 and 817,796 is: 1,734,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,570 : 817,796 = 817,796 : x
  2. Step 2: Convert to fraction form
    385,570/817,796 = 817,796/x
  3. Step 3: Cross multiply
    385,570x = 817,796 × 817,796
  4. Step 4: Simplify right side
    385,570x = 668,790,297,616
  5. Step 5: Solve for x
    x = 668,790,297,616/385,570
  6. Step 6: Final answer
    x = 1,734,549.62

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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.