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Finding the Third Proportional to 388,216 and 823,088

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Solution

The third proportional to 388,216 and 823,088 is: 1,745,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,216 : 823,088 = 823,088 : x
  2. Step 2: Convert to fraction form
    388,216/823,088 = 823,088/x
  3. Step 3: Cross multiply
    388,216x = 823,088 × 823,088
  4. Step 4: Simplify right side
    388,216x = 677,473,855,744
  5. Step 5: Solve for x
    x = 677,473,855,744/388,216
  6. Step 6: Final answer
    x = 1,745,095.14

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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.