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Finding the Third Proportional to 397,908 and 585,117

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Solution

The third proportional to 397,908 and 585,117 is: 860,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,908 : 585,117 = 585,117 : x
  2. Step 2: Convert to fraction form
    397,908/585,117 = 585,117/x
  3. Step 3: Cross multiply
    397,908x = 585,117 × 585,117
  4. Step 4: Simplify right side
    397,908x = 342,361,903,689
  5. Step 5: Solve for x
    x = 342,361,903,689/397,908
  6. Step 6: Final answer
    x = 860,404.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.