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Finding the Third Proportional to 385,568 and 817,792

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Solution

The third proportional to 385,568 and 817,792 is: 1,734,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,568 : 817,792 = 817,792 : x
  2. Step 2: Convert to fraction form
    385,568/817,792 = 817,792/x
  3. Step 3: Cross multiply
    385,568x = 817,792 × 817,792
  4. Step 4: Simplify right side
    385,568x = 668,783,755,264
  5. Step 5: Solve for x
    x = 668,783,755,264/385,568
  6. Step 6: Final answer
    x = 1,734,541.65

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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.