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Finding the Third Proportional to 384,907 and 554,445

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Solution

The third proportional to 384,907 and 554,445 is: 798,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,907 : 554,445 = 554,445 : x
  2. Step 2: Convert to fraction form
    384,907/554,445 = 554,445/x
  3. Step 3: Cross multiply
    384,907x = 554,445 × 554,445
  4. Step 4: Simplify right side
    384,907x = 307,409,258,025
  5. Step 5: Solve for x
    x = 307,409,258,025/384,907
  6. Step 6: Final answer
    x = 798,658.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.