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Finding the Third Proportional to 397,005.75 and 865,386

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Solution

The third proportional to 397,005.75 and 865,386 is: 1,886,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,005.75 : 865,386 = 865,386 : x
  2. Step 2: Convert to fraction form
    397,005.75/865,386 = 865,386/x
  3. Step 3: Cross multiply
    397,005.75x = 865,386 × 865,386
  4. Step 4: Simplify right side
    397,005.75x = 748,892,928,996
  5. Step 5: Solve for x
    x = 748,892,928,996/397,005.75
  6. Step 6: Final answer
    x = 1,886,352.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.