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Finding the Third Proportional to 384,920 and 554,464

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Solution

The third proportional to 384,920 and 554,464 is: 798,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,920 : 554,464 = 554,464 : x
  2. Step 2: Convert to fraction form
    384,920/554,464 = 554,464/x
  3. Step 3: Cross multiply
    384,920x = 554,464 × 554,464
  4. Step 4: Simplify right side
    384,920x = 307,430,327,296
  5. Step 5: Solve for x
    x = 307,430,327,296/384,920
  6. Step 6: Final answer
    x = 798,686.29

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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.