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Finding the Third Proportional to 397,875 and 865,005

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Solution

The third proportional to 397,875 and 865,005 is: 1,880,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,875 : 865,005 = 865,005 : x
  2. Step 2: Convert to fraction form
    397,875/865,005 = 865,005/x
  3. Step 3: Cross multiply
    397,875x = 865,005 × 865,005
  4. Step 4: Simplify right side
    397,875x = 748,233,650,025
  5. Step 5: Solve for x
    x = 748,233,650,025/397,875
  6. Step 6: Final answer
    x = 1,880,574.68

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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.